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

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


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

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

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

Remove parenthesis around (-12 + x)
12 + 3x = -12 + x + 4x

Combine like terms: x + 4x = 5x
12 + 3x = -12 + 5x

Solving
12 + 3x = -12 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
12 + 3x + -5x = -12 + 5x + -5x

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

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

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

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

Combine like terms: -12 + -12 = -24
-2x = -24

Divide each side by '-2'.
x = 12

Simplifying
x = 12

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