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

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


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

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

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

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

Combine like terms: -6 + -6 = -12
-12 + 3x + -2x = -3

Combine like terms: 3x + -2x = 1x
-12 + 1x = -3

Solving
-12 + 1x = -3

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 1x = -3 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = -3 + 12
1x = -3 + 12

Combine like terms: -3 + 12 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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