3(2x-2)+3x=5x+6-2x

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Solution for 3(2x-2)+3x=5x+6-2x equation:


Simplifying
3(2x + -2) + 3x = 5x + 6 + -2x

Reorder the terms:
3(-2 + 2x) + 3x = 5x + 6 + -2x
(-2 * 3 + 2x * 3) + 3x = 5x + 6 + -2x
(-6 + 6x) + 3x = 5x + 6 + -2x

Combine like terms: 6x + 3x = 9x
-6 + 9x = 5x + 6 + -2x

Reorder the terms:
-6 + 9x = 6 + 5x + -2x

Combine like terms: 5x + -2x = 3x
-6 + 9x = 6 + 3x

Solving
-6 + 9x = 6 + 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.
-6 + 9x + -3x = 6 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-6 + 6x = 6 + 3x + -3x

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

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

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

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

Divide each side by '6'.
x = 2

Simplifying
x = 2

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