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

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


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

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

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

Reorder the terms:
11 + -2x = 2(3 + x) + x
11 + -2x = (3 * 2 + x * 2) + x
11 + -2x = (6 + 2x) + x

Combine like terms: 2x + x = 3x
11 + -2x = 6 + 3x

Solving
11 + -2x = 6 + 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.
11 + -2x + -3x = 6 + 3x + -3x

Combine like terms: -2x + -3x = -5x
11 + -5x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + -5x = 6 + 0
11 + -5x = 6

Add '-11' to each side of the equation.
11 + -11 + -5x = 6 + -11

Combine like terms: 11 + -11 = 0
0 + -5x = 6 + -11
-5x = 6 + -11

Combine like terms: 6 + -11 = -5
-5x = -5

Divide each side by '-5'.
x = 1

Simplifying
x = 1

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