-5(2x-7)=-(9-x)

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Solution for -5(2x-7)=-(9-x) equation:


Simplifying
-5(2x + -7) = -1(9 + -1x)

Reorder the terms:
-5(-7 + 2x) = -1(9 + -1x)
(-7 * -5 + 2x * -5) = -1(9 + -1x)
(35 + -10x) = -1(9 + -1x)
35 + -10x = (9 * -1 + -1x * -1)
35 + -10x = (-9 + 1x)

Solving
35 + -10x = -9 + 1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
35 + -10x + -1x = -9 + 1x + -1x

Combine like terms: -10x + -1x = -11x
35 + -11x = -9 + 1x + -1x

Combine like terms: 1x + -1x = 0
35 + -11x = -9 + 0
35 + -11x = -9

Add '-35' to each side of the equation.
35 + -35 + -11x = -9 + -35

Combine like terms: 35 + -35 = 0
0 + -11x = -9 + -35
-11x = -9 + -35

Combine like terms: -9 + -35 = -44
-11x = -44

Divide each side by '-11'.
x = 4

Simplifying
x = 4

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