(3x-2)+2(x-3)=-13

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Solution for (3x-2)+2(x-3)=-13 equation:


Simplifying
(3x + -2) + 2(x + -3) = -13

Reorder the terms:
(-2 + 3x) + 2(x + -3) = -13

Remove parenthesis around (-2 + 3x)
-2 + 3x + 2(x + -3) = -13

Reorder the terms:
-2 + 3x + 2(-3 + x) = -13
-2 + 3x + (-3 * 2 + x * 2) = -13
-2 + 3x + (-6 + 2x) = -13

Reorder the terms:
-2 + -6 + 3x + 2x = -13

Combine like terms: -2 + -6 = -8
-8 + 3x + 2x = -13

Combine like terms: 3x + 2x = 5x
-8 + 5x = -13

Solving
-8 + 5x = -13

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 5x = -13 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = -13 + 8
5x = -13 + 8

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

Divide each side by '5'.
x = -1

Simplifying
x = -1

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