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

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


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

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

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

Combine like terms: -2x + 3x = 1x
-6 + 1x = 3x + 3(x + 2)

Reorder the terms:
-6 + 1x = 3x + 3(2 + x)
-6 + 1x = 3x + (2 * 3 + x * 3)
-6 + 1x = 3x + (6 + 3x)

Reorder the terms:
-6 + 1x = 6 + 3x + 3x

Combine like terms: 3x + 3x = 6x
-6 + 1x = 6 + 6x

Solving
-6 + 1x = 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 + 1x + -6x = 6 + 6x + -6x

Combine like terms: 1x + -6x = -5x
-6 + -5x = 6 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -5x = 6 + 0
-6 + -5x = 6

Add '6' to each side of the equation.
-6 + 6 + -5x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + -5x = 6 + 6
-5x = 6 + 6

Combine like terms: 6 + 6 = 12
-5x = 12

Divide each side by '-5'.
x = -2.4

Simplifying
x = -2.4

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