12-7(x-4)+x=-2x

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Solution for 12-7(x-4)+x=-2x equation: 


Simplifying
12 + -7(x + -4) + x = -2x

Reorder the terms:
12 + -7(-4 + x) + x = -2x
12 + (-4 * -7 + x * -7) + x = -2x
12 + (28 + -7x) + x = -2x

Combine like terms: 12 + 28 = 40
40 + -7x + x = -2x

Combine like terms: -7x + x = -6x
40 + -6x = -2x

Solving
40 + -6x = -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
40 + -6x + 2x = -2x + 2x

Combine like terms: -6x + 2x = -4x
40 + -4x = -2x + 2x

Combine like terms: -2x + 2x = 0
40 + -4x = 0

Add '-40' to each side of the equation.
40 + -40 + -4x = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -4x = 0 + -40
-4x = 0 + -40

Combine like terms: 0 + -40 = -40
-4x = -40

Divide each side by '-4'.
x = 10

Simplifying
x = 10

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