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

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


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

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

Reorder the terms:
-8 + x + -4x = 2x + 12

Combine like terms: x + -4x = -3x
-8 + -3x = 2x + 12

Reorder the terms:
-8 + -3x = 12 + 2x

Solving
-8 + -3x = 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.
-8 + -3x + -2x = 12 + 2x + -2x

Combine like terms: -3x + -2x = -5x
-8 + -5x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-8 + -5x = 12 + 0
-8 + -5x = 12

Add '8' to each side of the equation.
-8 + 8 + -5x = 12 + 8

Combine like terms: -8 + 8 = 0
0 + -5x = 12 + 8
-5x = 12 + 8

Combine like terms: 12 + 8 = 20
-5x = 20

Divide each side by '-5'.
x = -4

Simplifying
x = -4

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