12+(x+10)=2(x-11)-7

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Solution for 12+(x+10)=2(x-11)-7 equation: 


Simplifying
12 + (x + 10) = 2(x + -11) + -7

Reorder the terms:
12 + (10 + x) = 2(x + -11) + -7

Remove parenthesis around (10 + x)
12 + 10 + x = 2(x + -11) + -7

Combine like terms: 12 + 10 = 22
22 + x = 2(x + -11) + -7

Reorder the terms:
22 + x = 2(-11 + x) + -7
22 + x = (-11 * 2 + x * 2) + -7
22 + x = (-22 + 2x) + -7

Reorder the terms:
22 + x = -22 + -7 + 2x

Combine like terms: -22 + -7 = -29
22 + x = -29 + 2x

Solving
22 + x = -29 + 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.
22 + x + -2x = -29 + 2x + -2x

Combine like terms: x + -2x = -1x
22 + -1x = -29 + 2x + -2x

Combine like terms: 2x + -2x = 0
22 + -1x = -29 + 0
22 + -1x = -29

Add '-22' to each side of the equation.
22 + -22 + -1x = -29 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = -29 + -22
-1x = -29 + -22

Combine like terms: -29 + -22 = -51
-1x = -51

Divide each side by '-1'.
x = 51

Simplifying
x = 51

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