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

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


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

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

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

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

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

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

Solving
2 + -3x = 8 + 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 + -3x + -3x = 8 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
2 + -6x = 8 + 0
2 + -6x = 8

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

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

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

Divide each side by '-6'.
x = -1

Simplifying
x = -1

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