13-2x-2=2[x+2]+3x

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Solution for 13-2x-2=2[x+2]+3x equation: 


Simplifying
13 + -2x + -2 = 2[x + 2] + 3x

Reorder the terms:
13 + -2 + -2x = 2[x + 2] + 3x

Combine like terms: 13 + -2 = 11
11 + -2x = 2[x + 2] + 3x

Reorder the terms:
11 + -2x = 2[2 + x] + 3x
11 + -2x = [2 * 2 + x * 2] + 3x
11 + -2x = [4 + 2x] + 3x

Combine like terms: 2x + 3x = 5x
11 + -2x = 4 + 5x

Solving
11 + -2x = 4 + 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.
11 + -2x + -5x = 4 + 5x + -5x

Combine like terms: -2x + -5x = -7x
11 + -7x = 4 + 5x + -5x

Combine like terms: 5x + -5x = 0
11 + -7x = 4 + 0
11 + -7x = 4

Add '-11' to each side of the equation.
11 + -11 + -7x = 4 + -11

Combine like terms: 11 + -11 = 0
0 + -7x = 4 + -11
-7x = 4 + -11

Combine like terms: 4 + -11 = -7
-7x = -7

Divide each side by '-7'.
x = 1

Simplifying
x = 1

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