2(3x-6)-3x=8x+18

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Solution for 2(3x-6)-3x=8x+18 equation:


Simplifying
2(3x + -6) + -3x = 8x + 18

Reorder the terms:
2(-6 + 3x) + -3x = 8x + 18
(-6 * 2 + 3x * 2) + -3x = 8x + 18
(-12 + 6x) + -3x = 8x + 18

Combine like terms: 6x + -3x = 3x
-12 + 3x = 8x + 18

Reorder the terms:
-12 + 3x = 18 + 8x

Solving
-12 + 3x = 18 + 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 = 18 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-12 + -5x = 18 + 8x + -8x

Combine like terms: 8x + -8x = 0
-12 + -5x = 18 + 0
-12 + -5x = 18

Add '12' to each side of the equation.
-12 + 12 + -5x = 18 + 12

Combine like terms: -12 + 12 = 0
0 + -5x = 18 + 12
-5x = 18 + 12

Combine like terms: 18 + 12 = 30
-5x = 30

Divide each side by '-5'.
x = -6

Simplifying
x = -6

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