6(2x-2)=3x-30

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Solution for 6(2x-2)=3x-30 equation: 


Simplifying
6(2x + -2) = 3x + -30

Reorder the terms:
6(-2 + 2x) = 3x + -30
(-2 * 6 + 2x * 6) = 3x + -30
(-12 + 12x) = 3x + -30

Reorder the terms:
-12 + 12x = -30 + 3x

Solving
-12 + 12x = -30 + 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.
-12 + 12x + -3x = -30 + 3x + -3x

Combine like terms: 12x + -3x = 9x
-12 + 9x = -30 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + 9x = -30 + 0
-12 + 9x = -30

Add '12' to each side of the equation.
-12 + 12 + 9x = -30 + 12

Combine like terms: -12 + 12 = 0
0 + 9x = -30 + 12
9x = -30 + 12

Combine like terms: -30 + 12 = -18
9x = -18

Divide each side by '9'.
x = -2

Simplifying
x = -2

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