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

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


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

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

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

Solving
8 + -12x = 2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
8 + -12x + -1x = 2 + x + -1x

Combine like terms: -12x + -1x = -13x
8 + -13x = 2 + x + -1x

Combine like terms: x + -1x = 0
8 + -13x = 2 + 0
8 + -13x = 2

Add '-8' to each side of the equation.
8 + -8 + -13x = 2 + -8

Combine like terms: 8 + -8 = 0
0 + -13x = 2 + -8
-13x = 2 + -8

Combine like terms: 2 + -8 = -6
-13x = -6

Divide each side by '-13'.
x = 0.4615384615

Simplifying
x = 0.4615384615

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