2x-12=3(2x+6)

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Solution for 2x-12=3(2x+6) equation:


Simplifying
2x + -12 = 3(2x + 6)

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

Reorder the terms:
-12 + 2x = 3(6 + 2x)
-12 + 2x = (6 * 3 + 2x * 3)
-12 + 2x = (18 + 6x)

Solving
-12 + 2x = 18 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-12 + 2x + -6x = 18 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-12 + -4x = 18 + 6x + -6x

Combine like terms: 6x + -6x = 0
-12 + -4x = 18 + 0
-12 + -4x = 18

Add '12' to each side of the equation.
-12 + 12 + -4x = 18 + 12

Combine like terms: -12 + 12 = 0
0 + -4x = 18 + 12
-4x = 18 + 12

Combine like terms: 18 + 12 = 30
-4x = 30

Divide each side by '-4'.
x = -7.5

Simplifying
x = -7.5

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