6x-12=2(2x+9)

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Solution for 6x-12=2(2x+9) equation:


Simplifying
6x + -12 = 2(2x + 9)

Reorder the terms:
-12 + 6x = 2(2x + 9)

Reorder the terms:
-12 + 6x = 2(9 + 2x)
-12 + 6x = (9 * 2 + 2x * 2)
-12 + 6x = (18 + 4x)

Solving
-12 + 6x = 18 + 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.
-12 + 6x + -4x = 18 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-12 + 2x = 18 + 0
-12 + 2x = 18

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

Combine like terms: -12 + 12 = 0
0 + 2x = 18 + 12
2x = 18 + 12

Combine like terms: 18 + 12 = 30
2x = 30

Divide each side by '2'.
x = 15

Simplifying
x = 15

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