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

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


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

Reorder the terms:
3(12 + x) + -2x = 3(x + -2)
(12 * 3 + x * 3) + -2x = 3(x + -2)
(36 + 3x) + -2x = 3(x + -2)

Combine like terms: 3x + -2x = 1x
36 + 1x = 3(x + -2)

Reorder the terms:
36 + 1x = 3(-2 + x)
36 + 1x = (-2 * 3 + x * 3)
36 + 1x = (-6 + 3x)

Solving
36 + 1x = -6 + 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.
36 + 1x + -3x = -6 + 3x + -3x

Combine like terms: 1x + -3x = -2x
36 + -2x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
36 + -2x = -6 + 0
36 + -2x = -6

Add '-36' to each side of the equation.
36 + -36 + -2x = -6 + -36

Combine like terms: 36 + -36 = 0
0 + -2x = -6 + -36
-2x = -6 + -36

Combine like terms: -6 + -36 = -42
-2x = -42

Divide each side by '-2'.
x = 21

Simplifying
x = 21

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