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

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


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

Reorder the terms:
13 + -1(2 + 2x) = 2(x + 2) + -3x
13 + (2 * -1 + 2x * -1) = 2(x + 2) + -3x
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 = -1x
11 + -2x = 4 + -1x

Solving
11 + -2x = 4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
11 + -2x + x = 4 + -1x + x

Combine like terms: -2x + x = -1x
11 + -1x = 4 + -1x + x

Combine like terms: -1x + x = 0
11 + -1x = 4 + 0
11 + -1x = 4

Add '-11' to each side of the equation.
11 + -11 + -1x = 4 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 4 + -11
-1x = 4 + -11

Combine like terms: 4 + -11 = -7
-1x = -7

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

Simplifying
x = 7

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