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

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


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

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

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

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

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

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

Solving
-1x = -2

Solving for variable 'x'.

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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