3(2x+-2)=2(6x+15)

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Solution for 3(2x+-2)=2(6x+15) equation:


Simplifying
3(2x + -2) = 2(6x + 15)

Reorder the terms:
3(-2 + 2x) = 2(6x + 15)
(-2 * 3 + 2x * 3) = 2(6x + 15)
(-6 + 6x) = 2(6x + 15)

Reorder the terms:
-6 + 6x = 2(15 + 6x)
-6 + 6x = (15 * 2 + 6x * 2)
-6 + 6x = (30 + 12x)

Solving
-6 + 6x = 30 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-6 + 6x + -12x = 30 + 12x + -12x

Combine like terms: 6x + -12x = -6x
-6 + -6x = 30 + 12x + -12x

Combine like terms: 12x + -12x = 0
-6 + -6x = 30 + 0
-6 + -6x = 30

Add '6' to each side of the equation.
-6 + 6 + -6x = 30 + 6

Combine like terms: -6 + 6 = 0
0 + -6x = 30 + 6
-6x = 30 + 6

Combine like terms: 30 + 6 = 36
-6x = 36

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

Simplifying
x = -6

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