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

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


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

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

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

Reorder the terms:
2 + 6 + 2x + -3x = x + -2

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

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

Reorder the terms:
8 + -1x = -2 + x

Solving
8 + -1x = -2 + x

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.
8 + -1x + -1x = -2 + x + -1x

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

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

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

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

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

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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