13-(2x+2)=3x+2(x+2)

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Solution for 13-(2x+2)=3x+2(x+2) equation: 


Simplifying
13 + -1(2x + 2) = 3x + 2(x + 2)

Reorder the terms:
13 + -1(2 + 2x) = 3x + 2(x + 2)
13 + (2 * -1 + 2x * -1) = 3x + 2(x + 2)
13 + (-2 + -2x) = 3x + 2(x + 2)

Combine like terms: 13 + -2 = 11
11 + -2x = 3x + 2(x + 2)

Reorder the terms:
11 + -2x = 3x + 2(2 + x)
11 + -2x = 3x + (2 * 2 + x * 2)
11 + -2x = 3x + (4 + 2x)

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

Combine like terms: 3x + 2x = 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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