2(1-2x)-x=3(x+1)+7

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Solution for 2(1-2x)-x=3(x+1)+7 equation: 


Simplifying
2(1 + -2x) + -1x = 3(x + 1) + 7
(1 * 2 + -2x * 2) + -1x = 3(x + 1) + 7
(2 + -4x) + -1x = 3(x + 1) + 7

Combine like terms: -4x + -1x = -5x
2 + -5x = 3(x + 1) + 7

Reorder the terms:
2 + -5x = 3(1 + x) + 7
2 + -5x = (1 * 3 + x * 3) + 7
2 + -5x = (3 + 3x) + 7

Reorder the terms:
2 + -5x = 3 + 7 + 3x

Combine like terms: 3 + 7 = 10
2 + -5x = 10 + 3x

Solving
2 + -5x = 10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2 + -5x + -3x = 10 + 3x + -3x

Combine like terms: -5x + -3x = -8x
2 + -8x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -8x = 10 + 0
2 + -8x = 10

Add '-2' to each side of the equation.
2 + -2 + -8x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + -8x = 10 + -2
-8x = 10 + -2

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

Divide each side by '-8'.
x = -1

Simplifying
x = -1

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