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

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Solution for 10-(x-5)=2(x+1)+12 equation: 


Simplifying
10 + -1(x + -5) = 2(x + 1) + 12

Reorder the terms:
10 + -1(-5 + x) = 2(x + 1) + 12
10 + (-5 * -1 + x * -1) = 2(x + 1) + 12
10 + (5 + -1x) = 2(x + 1) + 12

Combine like terms: 10 + 5 = 15
15 + -1x = 2(x + 1) + 12

Reorder the terms:
15 + -1x = 2(1 + x) + 12
15 + -1x = (1 * 2 + x * 2) + 12
15 + -1x = (2 + 2x) + 12

Reorder the terms:
15 + -1x = 2 + 12 + 2x

Combine like terms: 2 + 12 = 14
15 + -1x = 14 + 2x

Solving
15 + -1x = 14 + 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.
15 + -1x + -2x = 14 + 2x + -2x

Combine like terms: -1x + -2x = -3x
15 + -3x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + -3x = 14 + 0
15 + -3x = 14

Add '-15' to each side of the equation.
15 + -15 + -3x = 14 + -15

Combine like terms: 15 + -15 = 0
0 + -3x = 14 + -15
-3x = 14 + -15

Combine like terms: 14 + -15 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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