2(x+1)-9x=-(x-10)+(2x+2)

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Solution for 2(x+1)-9x=-(x-10)+(2x+2) equation:


Simplifying
2(x + 1) + -9x = -1(x + -10) + (2x + 2)

Reorder the terms:
2(1 + x) + -9x = -1(x + -10) + (2x + 2)
(1 * 2 + x * 2) + -9x = -1(x + -10) + (2x + 2)
(2 + 2x) + -9x = -1(x + -10) + (2x + 2)

Combine like terms: 2x + -9x = -7x
2 + -7x = -1(x + -10) + (2x + 2)

Reorder the terms:
2 + -7x = -1(-10 + x) + (2x + 2)
2 + -7x = (-10 * -1 + x * -1) + (2x + 2)
2 + -7x = (10 + -1x) + (2x + 2)

Reorder the terms:
2 + -7x = 10 + -1x + (2 + 2x)

Remove parenthesis around (2 + 2x)
2 + -7x = 10 + -1x + 2 + 2x

Reorder the terms:
2 + -7x = 10 + 2 + -1x + 2x

Combine like terms: 10 + 2 = 12
2 + -7x = 12 + -1x + 2x

Combine like terms: -1x + 2x = 1x
2 + -7x = 12 + 1x

Solving
2 + -7x = 12 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2 + -7x + -1x = 12 + 1x + -1x

Combine like terms: -7x + -1x = -8x
2 + -8x = 12 + 1x + -1x

Combine like terms: 1x + -1x = 0
2 + -8x = 12 + 0
2 + -8x = 12

Add '-2' to each side of the equation.
2 + -2 + -8x = 12 + -2

Combine like terms: 2 + -2 = 0
0 + -8x = 12 + -2
-8x = 12 + -2

Combine like terms: 12 + -2 = 10
-8x = 10

Divide each side by '-8'.
x = -1.25

Simplifying
x = -1.25

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