2(x-3)-x-2(1-x)=5(x+1)+1

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Solution for 2(x-3)-x-2(1-x)=5(x+1)+1 equation:


Simplifying
2(x + -3) + -1x + -2(1 + -1x) = 5(x + 1) + 1

Reorder the terms:
2(-3 + x) + -1x + -2(1 + -1x) = 5(x + 1) + 1
(-3 * 2 + x * 2) + -1x + -2(1 + -1x) = 5(x + 1) + 1
(-6 + 2x) + -1x + -2(1 + -1x) = 5(x + 1) + 1
-6 + 2x + -1x + (1 * -2 + -1x * -2) = 5(x + 1) + 1
-6 + 2x + -1x + (-2 + 2x) = 5(x + 1) + 1

Reorder the terms:
-6 + -2 + 2x + -1x + 2x = 5(x + 1) + 1

Combine like terms: -6 + -2 = -8
-8 + 2x + -1x + 2x = 5(x + 1) + 1

Combine like terms: 2x + -1x = 1x
-8 + 1x + 2x = 5(x + 1) + 1

Combine like terms: 1x + 2x = 3x
-8 + 3x = 5(x + 1) + 1

Reorder the terms:
-8 + 3x = 5(1 + x) + 1
-8 + 3x = (1 * 5 + x * 5) + 1
-8 + 3x = (5 + 5x) + 1

Reorder the terms:
-8 + 3x = 5 + 1 + 5x

Combine like terms: 5 + 1 = 6
-8 + 3x = 6 + 5x

Solving
-8 + 3x = 6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-8 + 3x + -5x = 6 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-8 + -2x = 6 + 5x + -5x

Combine like terms: 5x + -5x = 0
-8 + -2x = 6 + 0
-8 + -2x = 6

Add '8' to each side of the equation.
-8 + 8 + -2x = 6 + 8

Combine like terms: -8 + 8 = 0
0 + -2x = 6 + 8
-2x = 6 + 8

Combine like terms: 6 + 8 = 14
-2x = 14

Divide each side by '-2'.
x = -7

Simplifying
x = -7

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