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

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


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

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

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

Solving
-6 + 6x = 6 + -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.
-6 + 6x + 6x = 6 + -6x + 6x

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

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

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

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

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

Divide each side by '12'.
x = 1

Simplifying
x = 1

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