13-(2x+2)=2(x+2)+31

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Solution for 13-(2x+2)=2(x+2)+31 equation: 


Simplifying
13 + -1(2x + 2) = 2(x + 2) + 31

Reorder the terms:
13 + -1(2 + 2x) = 2(x + 2) + 31
13 + (2 * -1 + 2x * -1) = 2(x + 2) + 31
13 + (-2 + -2x) = 2(x + 2) + 31

Combine like terms: 13 + -2 = 11
11 + -2x = 2(x + 2) + 31

Reorder the terms:
11 + -2x = 2(2 + x) + 31
11 + -2x = (2 * 2 + x * 2) + 31
11 + -2x = (4 + 2x) + 31

Reorder the terms:
11 + -2x = 4 + 31 + 2x

Combine like terms: 4 + 31 = 35
11 + -2x = 35 + 2x

Solving
11 + -2x = 35 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
11 + -2x + -2x = 35 + 2x + -2x

Combine like terms: -2x + -2x = -4x
11 + -4x = 35 + 2x + -2x

Combine like terms: 2x + -2x = 0
11 + -4x = 35 + 0
11 + -4x = 35

Add '-11' to each side of the equation.
11 + -11 + -4x = 35 + -11

Combine like terms: 11 + -11 = 0
0 + -4x = 35 + -11
-4x = 35 + -11

Combine like terms: 35 + -11 = 24
-4x = 24

Divide each side by '-4'.
x = -6

Simplifying
x = -6

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