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

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


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

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

Reorder the terms:
4 + 2x + -3(3 + x) = 8
4 + 2x + (3 * -3 + x * -3) = 8
4 + 2x + (-9 + -3x) = 8

Reorder the terms:
4 + -9 + 2x + -3x = 8

Combine like terms: 4 + -9 = -5
-5 + 2x + -3x = 8

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

Solving
-5 + -1x = 8

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 8 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 8 + 5
-1x = 8 + 5

Combine like terms: 8 + 5 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13

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