-2(3x-4)+2=2x-12

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Solution for -2(3x-4)+2=2x-12 equation:


Simplifying
-2(3x + -4) + 2 = 2x + -12

Reorder the terms:
-2(-4 + 3x) + 2 = 2x + -12
(-4 * -2 + 3x * -2) + 2 = 2x + -12
(8 + -6x) + 2 = 2x + -12

Reorder the terms:
8 + 2 + -6x = 2x + -12

Combine like terms: 8 + 2 = 10
10 + -6x = 2x + -12

Reorder the terms:
10 + -6x = -12 + 2x

Solving
10 + -6x = -12 + 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.
10 + -6x + -2x = -12 + 2x + -2x

Combine like terms: -6x + -2x = -8x
10 + -8x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + -8x = -12 + 0
10 + -8x = -12

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

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

Combine like terms: -12 + -10 = -22
-8x = -22

Divide each side by '-8'.
x = 2.75

Simplifying
x = 2.75

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