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Komok [63]
3 years ago
15

17-5(2x-9)=-(-6x+10)+4

Mathematics
2 answers:
MrRa [10]3 years ago
3 0
17 - 5(2x - 9) = -(-6x + 10) + 4

On the right side of the equation, there is a negative sign infront of the parentheses. This means that you are multiplying the parentheses by -1.

17 - 5(2x - 9) = (6x -10) + 4

The 6x is positive because a negative times a negative is positive. The 10 is negative because a negative times a positive is a negative. Now, combine the like terms on the right side of the equation by adding -10 and 4 together.

17 - 5(2x - 9) = 6x - 6

Now that you have simplified the right side of the equation, move to the left side. Start with multiplying 5 times (2x - 9) using the distributive property.

17 - (10x - 45) = 6x - 6

After that, combine the like terms by subtracting -45 from 17. Because you would be doing 17 - -45, you would change all signs because when you subtract with negatives, you have to change the signs. Due to the change of the signs, you are just adding 17 and 45 together.

62 + 10x = 6x - 6

Now, you need to get the x's on one side and the whole numbers on the other side. Begin by subtracting 6x from both sides.

62 + 10x = 6x - 6
         -6x    -6x
62 + 4x = -6

Now, subtract 62 from negative 6. Remember to change the signs. You will end up with -6 + -62.

4x = -68

Finally, divide both sides by 4.
<u>4x</u> = <u>-68
</u>4        4
x = 17

Final Answer: x = -17














zhannawk [14.2K]3 years ago
3 0

Answer:

17-5[2x-9]=-[6x+10]+4

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The solution to -2[1 - 4x] = 3x + 8 is
kvasek [131]

Answer:  " 14 " .

________________________

     →  " x = 14 " .

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Step-by-step explanation:

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First, let us simplify the expression on the "left-hand side" of the equation:

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Note the "distributive property of multiplication" :

      →  a(b + c)  =  ab + ac  .

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      → -2(1 − 4x)  = (-2)(1) + (-2)(-4x) ;

                         =  - 2 + 8x ;

                       ↔  8x − 2 ;

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Now, rewrite the entire expression:

 →  8x − 2 = 3x + 8 ;

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Subtract "(3x)" from each side of the equation;

      and add "2" to each side of the equation:

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 →  8x − 2 − 3x + 2 = 3x + 8 − 3x + 2 ;

to get:  

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Now, divide each side of the equation by "5" ;

  to isolate "x" on side of the equation;

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________________________

 →  5x/5 = 10/5 ;

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 →  x = 2 .

________________________

Now, let us check our work:

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Plug in "2" for all "x-values" into the original equation;

to see if the equation holds true;

that is, to see if each side of the original equation given has the same value;  

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________________________

Note the given equation:

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   →   -2[1 − 4x] = 3x + 8 ;

________________________

Start with the left-hand side:

   →  -2[1 − (4*2)} = -2(1 − 8) = -2(-7) = 14 .

Now, continue with the right-hand side:

   →  3(2) + 8 = 6 + 8 = 14 .

___________________________________

   → 14 =? 14 ??? ;  Yes!

___________________________________

Hope this is helpful to you!

___________________________________

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