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

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


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

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

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

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

Remove parenthesis around (2 + x)
11 + -2x = 2 + x + 3x

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

Solving
11 + -2x = 2 + 4x

Solving for variable 'x'.

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

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

Combine like terms: -2x + -4x = -6x
11 + -6x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
11 + -6x = 2 + 0
11 + -6x = 2

Add '-11' to each side of the equation.
11 + -11 + -6x = 2 + -11

Combine like terms: 11 + -11 = 0
0 + -6x = 2 + -11
-6x = 2 + -11

Combine like terms: 2 + -11 = -9
-6x = -9

Divide each side by '-6'.
x = 1.5

Simplifying
x = 1.5

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