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

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


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

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

Solving
8 + -4x = 2 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
8 + -4x + 5x = 2 + -5x + 5x

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

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

Add '-8' to each side of the equation.
8 + -8 + 1x = 2 + -8

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

Combine like terms: 2 + -8 = -6
1x = -6

Divide each side by '1'.
x = -6

Simplifying
x = -6

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