-2(x-7)-(-7x-9)=4x

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Solution for -2(x-7)-(-7x-9)=4x equation: 


Simplifying
-2(x + -7) + -1(-7x + -9) = 4x

Reorder the terms:
-2(-7 + x) + -1(-7x + -9) = 4x
(-7 * -2 + x * -2) + -1(-7x + -9) = 4x
(14 + -2x) + -1(-7x + -9) = 4x

Reorder the terms:
14 + -2x + -1(-9 + -7x) = 4x
14 + -2x + (-9 * -1 + -7x * -1) = 4x
14 + -2x + (9 + 7x) = 4x

Reorder the terms:
14 + 9 + -2x + 7x = 4x

Combine like terms: 14 + 9 = 23
23 + -2x + 7x = 4x

Combine like terms: -2x + 7x = 5x
23 + 5x = 4x

Solving
23 + 5x = 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
23 + 5x + -4x = 4x + -4x

Combine like terms: 5x + -4x = 1x
23 + 1x = 4x + -4x

Combine like terms: 4x + -4x = 0
23 + 1x = 0

Add '-23' to each side of the equation.
23 + -23 + 1x = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 1x = 0 + -23
1x = 0 + -23

Combine like terms: 0 + -23 = -23
1x = -23

Divide each side by '1'.
x = -23

Simplifying
x = -23

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