(x+5)-(2x+2)=12

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Solution for (x+5)-(2x+2)=12 equation:


Simplifying
(x + 5) + -1(2x + 2) = 12

Reorder the terms:
(5 + x) + -1(2x + 2) = 12

Remove parenthesis around (5 + x)
5 + x + -1(2x + 2) = 12

Reorder the terms:
5 + x + -1(2 + 2x) = 12
5 + x + (2 * -1 + 2x * -1) = 12
5 + x + (-2 + -2x) = 12

Reorder the terms:
5 + -2 + x + -2x = 12

Combine like terms: 5 + -2 = 3
3 + x + -2x = 12

Combine like terms: x + -2x = -1x
3 + -1x = 12

Solving
3 + -1x = 12

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 12 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 12 + -3
-1x = 12 + -3

Combine like terms: 12 + -3 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

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