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Mnenie [13.5K]
4 years ago
7

What is the reason for each step in the solution of the equation? −6x=−2(x+12)

Mathematics
1 answer:
love history [14]4 years ago
7 0
-6x = -2(x + 12) ... distribute through the parenthesis
-6x = -2x - 24 ... addition property of equality....add 2x to both sides
-6x + 2x = -24 ... combine like terms
-4x = -24 ... division property....divide both sides by -4
x = -24/-4
x = 6
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3 years ago
2+3x=-4(5+2x) solve for x, help please
Misha Larkins [42]

Answer:

x=-2

Step-by-step explanation:

2+3x=-4.(5+2x)

Expand  \: the  \: parentheses:

2 + 3x =  - 4.5 - 4.2x

Simplify \:  the \:  arithmetic:

2 + 3x =  - 20 - 4.2x

Solve \:  by \:  distributing:

2 + 3x =  - 20 - 8x

Group  \: all \:  x  \: terms \:  on \:  the  \: left  \: \\  side \:  of  \: the \:  equation

2 + 3x =  - 20 - 8x

Add  \: 8x \:  to  \: both \:  sides:

2 + 3x + 8x =  - 8x  + 8x

Simplify  \: the \:  arithmetic:

11x + 2 =  - 20 - 8x + 8x

Group \:  like  \: terms:

11x + 2 =  - 8x + 8x - 20

Group \:  all  \: constants \:  on \:  the \:  right  \\  \: side \:  of  \: the \:  equation

11x + 2 =  - 8x + 8x - 20

Subtract \:  2  \: from  \: both \:  sides:

11x + 2 -  =  - 20 - 2

Simplify \:  the  \: arithmetic:

11x =  - 20 - 2

Simplify  \: the \:  arithmetic:

11x =  - 22

Isolate \:  the \:  x

11x =  - 22

Divide  \: both \:  sides \:  by  \: 11:

\frac{11x}{11}  =  \frac{ - 22}{11}

Simplify \:  the \:  fraction:

x =  \frac{ - 22}{11}

Find  \: the \:  greatest \:  common \:  factor  \\  \: of  \: the  \: numerator \:  and  \: denominator:

x =  \frac{ - 2.11}{1.11}

Factor \:  out  \: and \:  cancel  \: the \:  greatest   \\ \: common \:  factor:

x =  - 2

Thanks!!!!!!!

4 0
3 years ago
Read 2 more answers
I need help with the following question, whichever one is right will get brainliest!
Schach [20]

Given: m∠A + m∠B = 90° (Definition of Complementary Angles).

Given: m∠B = (5x + 8)°

A) m∠A = 180° + (5x + 8) is your answer choice:

Why it isn't the others:

B) m∠A = 90° - (5x + 8)

You are solving for complementary angles (90° in total when combined), so you subtract the measurement for B (5x + 8) to get A.

C) m∠A = 180° - 2(5x + 8)°

You double the complementary angle to solve for the supplementary. Essentially, just divide this answer by two to get the complementary angles.

D) m∠A = 82 - 5x

I was confused by this one, but essentially they just did one step of the isolating the variable, which was subtracting 8 from both sides. They did not finish isolating the variable however.

8 0
3 years ago
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