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

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


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

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

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

Solving
-6 + 3x = 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 + 3x + -6x = 6 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-6 + -3x = 6 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -3x = 6 + 0
-6 + -3x = 6

Add '6' to each side of the equation.
-6 + 6 + -3x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = 6 + 6
-3x = 6 + 6

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

Divide each side by '-3'.
x = -4

Simplifying
x = -4

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