6(x+7)=-6(2x-6)+2x

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Solution for 6(x+7)=-6(2x-6)+2x equation:


Simplifying
6(x + 7) = -6(2x + -6) + 2x

Reorder the terms:
6(7 + x) = -6(2x + -6) + 2x
(7 * 6 + x * 6) = -6(2x + -6) + 2x
(42 + 6x) = -6(2x + -6) + 2x

Reorder the terms:
42 + 6x = -6(-6 + 2x) + 2x
42 + 6x = (-6 * -6 + 2x * -6) + 2x
42 + 6x = (36 + -12x) + 2x

Combine like terms: -12x + 2x = -10x
42 + 6x = 36 + -10x

Solving
42 + 6x = 36 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
42 + 6x + 10x = 36 + -10x + 10x

Combine like terms: 6x + 10x = 16x
42 + 16x = 36 + -10x + 10x

Combine like terms: -10x + 10x = 0
42 + 16x = 36 + 0
42 + 16x = 36

Add '-42' to each side of the equation.
42 + -42 + 16x = 36 + -42

Combine like terms: 42 + -42 = 0
0 + 16x = 36 + -42
16x = 36 + -42

Combine like terms: 36 + -42 = -6
16x = -6

Divide each side by '16'.
x = -0.375

Simplifying
x = -0.375

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