-2(x-2)-7x=4(-2x-3)-5x

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Solution for -2(x-2)-7x=4(-2x-3)-5x equation:


Simplifying
-2(x + -2) + -7x = 4(-2x + -3) + -5x

Reorder the terms:
-2(-2 + x) + -7x = 4(-2x + -3) + -5x
(-2 * -2 + x * -2) + -7x = 4(-2x + -3) + -5x
(4 + -2x) + -7x = 4(-2x + -3) + -5x

Combine like terms: -2x + -7x = -9x
4 + -9x = 4(-2x + -3) + -5x

Reorder the terms:
4 + -9x = 4(-3 + -2x) + -5x
4 + -9x = (-3 * 4 + -2x * 4) + -5x
4 + -9x = (-12 + -8x) + -5x

Combine like terms: -8x + -5x = -13x
4 + -9x = -12 + -13x

Solving
4 + -9x = -12 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
4 + -9x + 13x = -12 + -13x + 13x

Combine like terms: -9x + 13x = 4x
4 + 4x = -12 + -13x + 13x

Combine like terms: -13x + 13x = 0
4 + 4x = -12 + 0
4 + 4x = -12

Add '-4' to each side of the equation.
4 + -4 + 4x = -12 + -4

Combine like terms: 4 + -4 = 0
0 + 4x = -12 + -4
4x = -12 + -4

Combine like terms: -12 + -4 = -16
4x = -16

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

Simplifying
x = -4

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