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

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


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

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

Reorder the terms:
-8 + 4x + -6x = 3x + 12

Combine like terms: 4x + -6x = -2x
-8 + -2x = 3x + 12

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

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

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-8 + -2x + -3x = 12 + 3x + -3x

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

Combine like terms: 3x + -3x = 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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