-4(x-2)=x-2

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


Simplifying
-4(x + -2) = x + -2

Reorder the terms:
-4(-2 + x) = x + -2
(-2 * -4 + x * -4) = x + -2
(8 + -4x) = x + -2

Reorder the terms:
8 + -4x = -2 + x

Solving
8 + -4x = -2 + x

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.
8 + -4x + -1x = -2 + x + -1x

Combine like terms: -4x + -1x = -5x
8 + -5x = -2 + x + -1x

Combine like terms: x + -1x = 0
8 + -5x = -2 + 0
8 + -5x = -2

Add '-8' to each side of the equation.
8 + -8 + -5x = -2 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = -2 + -8
-5x = -2 + -8

Combine like terms: -2 + -8 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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