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IrinaK [193]
3 years ago
6

Solve the equation -5(x-2)=-(x+6)

Mathematics
2 answers:
Tems11 [23]3 years ago
6 0

Steps to solve:

-5(x - 2) = -(x + 6)

~Simplify both sides

-5x + 10 = -x - 6

~Subtract 10 to both sides

-5x = -x - 16

~Add x to both sides

-4x = -16

~Divide -4 to both sides

x = 4

Best Of Luck!

AnnZ [28]3 years ago
3 0

Answer:

\huge{ \bold{ \huge{ \boxed{ \sf{x = 4}}}}}

Step-by-step explanation:

\sf{ - 5(x - 2) =  - (x + 6)}

Distribute -5 through the parentheses in left hand side

Similarly, distribute ( - ) sign through the parentheses in right hand side

\longrightarrow{ \sf{ - 5x + 10 =  - x  - 6}}

Move x to left hand hand side and change it's sign

Similarly, move 10 to right hand side and change it's sign

\longrightarrow{ \sf{ - 5x + x =  - 6 - 10}}

Collect like terms

\longrightarrow{ \sf{ - 4x =  - 6 - 10}}

The negative integers are always added but posses the negative ( - ) sign

\longrightarrow{ \sf{ - 4x =  - 16}}

Divide both sides by -4

\longrightarrow{ \sf{ \frac{ - 4x}{ - 4}  =  \frac{ - 16}{ - 4}}}

Calculate

\longrightarrow{ \sf{x = 4}}

Hope I helped!

Best regards! :D

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Which set of numbers is arranged in order from least to greatest?
charle [14.2K]
The answer is:  [C]:  -0.7, ⅕, 0.35, ⅔ .
________________________________________
Explanation:
_________________________________________
<span>
Note that in this correct Answer choice "C" given, we have the following arrangement of numbers:
_____________________________________________________
   </span>→ -0.7, ⅕, 0.35, ⅔ ; 
______________________________________
We are asked to find the "Answer choice" (or, perhaps, "Answer choices?") given that show a set of numbers arranged in order from "least to greatest"; that is, starting with a value that is the smallest number in the arrangement, and sequentially progressing, in order from least to greatest, with the largest (greatest) number in the arrangement appearing as the last number in the arrangement.
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Note the EACH of the 4 (four) answer choices given consists of an arrangement with ONLY one negative number, "- 0.7".  Only TWO of the answer choices—Choices "B" and "C"—have an arrangement beginning with the number, "-0.7 ";  So we can "rule out" the "Answer choices: [A] and [D]".
________________________
Let us examine: Answer choice: [B]: <span>-0.7, 0.35, ⅕, ⅔ ; 
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Note: The fraction, "⅕" = "2/10"; or, write as: 0.2 .
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          The fraction, "⅔" = 0.6666667 (that is 0.6666... repeating; so we often               see a "final decimal point" rounded to "7" at some point.
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Through experience, one will be able to automatically look at these 2 (two) fractions and immediately know their "decimal equivalents".
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Otherwise, one can determine the "decimal form" of these values on a calculator by division:
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→ ⅕ = 1/5 = 1 ÷ 5 = 0.2
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→ ⅔ = 2/3 = 2 ÷ 3 = 0.6666666666666667
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For Answer choice: [B], we have:
______________________________
→   -0.7, 0.35, ⅕, ⅔ ; 
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→ So, we can "rewrite" the arrangement of "Answer choice [B]" as:
___________________________________________
    →  -0.7, 0.35, 0.2, 0.666666667 ;
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    → And we can see that "Answer choice: [B]" is INCORRECT; because
"0.2" (that is, "⅕"), is LESS THAN "0.35".  So, "0.35" should not come BEFORE "⅕" in the arrangement that applies correctly to the problem.
_______________________________________
Let us examine: Answer choice: [C]:  -0.7, ⅕, 0.35, 0.666666667 .
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→ Remember from our previous— and aforementioned—examination of "Answer Choice: [B]" ; that:
____________________________ 
→ ⅕ = 0.2 ;   and:
→ ⅔ = 0.666666667
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So, given:
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→ Answer choice: [C]: -0.7, ⅕, 0.35, ⅔ ; 
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→ We can "rewrite" this given "arrangement", substituting our known "decimal values for the fractions:
______________________________
→ Answer choice: [C]: -0.7, 0.2, 0.35, 0.666666667 ;
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→ As mentioned above, this sequence starts with "-0.7", which is the ONLY negative number in the sequence; as such, the next positive number is correct.  Nonetheless, "0.2" (or, "(⅕") is the next number in the sequence, and is greater than "-0.7". The next number is "0.35. "0.35" is greater than "⅕" (or, "0.2"). Then next number is "(⅔)" (or, "0.666666667").
   "(⅔)"; (or, "0.666666667") is greater than 0.35.
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This set of numbers: "-0.7, ⅕, 0.35, ⅔" ; is arranged in order from least to greatest; which is "Answer choice: [C]: -0.7, ⅕, 0.35, ⅔" ; the correct answer.
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