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

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


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

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

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

Reorder the terms:
-2 + -10 + 2x + -5x = 10 + -1x

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

Combine like terms: 2x + -5x = -3x
-12 + -3x = 10 + -1x

Solving
-12 + -3x = 10 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-12 + -3x + x = 10 + -1x + x

Combine like terms: -3x + x = -2x
-12 + -2x = 10 + -1x + x

Combine like terms: -1x + x = 0
-12 + -2x = 10 + 0
-12 + -2x = 10

Add '12' to each side of the equation.
-12 + 12 + -2x = 10 + 12

Combine like terms: -12 + 12 = 0
0 + -2x = 10 + 12
-2x = 10 + 12

Combine like terms: 10 + 12 = 22
-2x = 22

Divide each side by '-2'.
x = -11

Simplifying
x = -11

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