2(x+2)-3(x-1)=8

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Solution for 2(x+2)-3(x-1)=8 equation: 


Simplifying
2(x + 2) + -3(x + -1) = 8

Reorder the terms:
2(2 + x) + -3(x + -1) = 8
(2 * 2 + x * 2) + -3(x + -1) = 8
(4 + 2x) + -3(x + -1) = 8

Reorder the terms:
4 + 2x + -3(-1 + x) = 8
4 + 2x + (-1 * -3 + x * -3) = 8
4 + 2x + (3 + -3x) = 8

Reorder the terms:
4 + 3 + 2x + -3x = 8

Combine like terms: 4 + 3 = 7
7 + 2x + -3x = 8

Combine like terms: 2x + -3x = -1x
7 + -1x = 8

Solving
7 + -1x = 8

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 8 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 8 + -7
-1x = 8 + -7

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

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

Simplifying
x = -1

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