(3x+6)=(4x-12)

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Solution for (3x+6)=(4x-12) equation:


Simplifying
(3x + 6) = (4x + -12)

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

Remove parenthesis around (6 + 3x)
6 + 3x = (4x + -12)

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

Remove parenthesis around (-12 + 4x)
6 + 3x = -12 + 4x

Solving
6 + 3x = -12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + 3x + -4x = -12 + 4x + -4x

Combine like terms: 3x + -4x = -1x
6 + -1x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -1x = -12 + 0
6 + -1x = -12

Add '-6' to each side of the equation.
6 + -6 + -1x = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -12 + -6
-1x = -12 + -6

Combine like terms: -12 + -6 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18

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