x+9=3(2x-2)

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Solution for x+9=3(2x-2) equation:


Simplifying
x + 9 = 3(2x + -2)

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

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

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

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

Combine like terms: 6x + -6x = 0
9 + -5x = -6 + 0
9 + -5x = -6

Add '-9' to each side of the equation.
9 + -9 + -5x = -6 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = -6 + -9
-5x = -6 + -9

Combine like terms: -6 + -9 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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