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

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Solution for 6(x+2)=-4(2x-2)+4x equation:


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

Reorder the terms:
6(2 + x) = -4(2x + -2) + 4x
(2 * 6 + x * 6) = -4(2x + -2) + 4x
(12 + 6x) = -4(2x + -2) + 4x

Reorder the terms:
12 + 6x = -4(-2 + 2x) + 4x
12 + 6x = (-2 * -4 + 2x * -4) + 4x
12 + 6x = (8 + -8x) + 4x

Combine like terms: -8x + 4x = -4x
12 + 6x = 8 + -4x

Solving
12 + 6x = 8 + -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.
12 + 6x + 4x = 8 + -4x + 4x

Combine like terms: 6x + 4x = 10x
12 + 10x = 8 + -4x + 4x

Combine like terms: -4x + 4x = 0
12 + 10x = 8 + 0
12 + 10x = 8

Add '-12' to each side of the equation.
12 + -12 + 10x = 8 + -12

Combine like terms: 12 + -12 = 0
0 + 10x = 8 + -12
10x = 8 + -12

Combine like terms: 8 + -12 = -4
10x = -4

Divide each side by '10'.
x = -0.4

Simplifying
x = -0.4

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