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

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


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

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

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

Combine like terms: x + 3x = 4x
-9 + 4x = 3x + 2 + 2x

Reorder the terms:
-9 + 4x = 2 + 3x + 2x

Combine like terms: 3x + 2x = 5x
-9 + 4x = 2 + 5x

Solving
-9 + 4x = 2 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
-9 + 4x + -5x = 2 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-9 + -1x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
-9 + -1x = 2 + 0
-9 + -1x = 2

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

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

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

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

Simplifying
x = -11

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