(3x+12)=(8x-12)

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Solution for (3x+12)=(8x-12) equation:


Simplifying
(3x + 12) = (8x + -12)

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

Remove parenthesis around (12 + 3x)
12 + 3x = (8x + -12)

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

Remove parenthesis around (-12 + 8x)
12 + 3x = -12 + 8x

Solving
12 + 3x = -12 + 8x

Solving for variable 'x'.

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

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

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

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

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

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

Combine like terms: -12 + -12 = -24
-5x = -24

Divide each side by '-5'.
x = 4.8

Simplifying
x = 4.8

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