2x+2=3(x-3)

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


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

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

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

Solving
2 + 2x = -9 + 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.
2 + 2x + -3x = -9 + 3x + -3x

Combine like terms: 2x + -3x = -1x
2 + -1x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -1x = -9 + 0
2 + -1x = -9

Add '-2' to each side of the equation.
2 + -2 + -1x = -9 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = -9 + -2
-1x = -9 + -2

Combine like terms: -9 + -2 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

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