-3(x-1)-2(x+3)=-13

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Solution for -3(x-1)-2(x+3)=-13 equation:


Simplifying
-3(x + -1) + -2(x + 3) = -13

Reorder the terms:
-3(-1 + x) + -2(x + 3) = -13
(-1 * -3 + x * -3) + -2(x + 3) = -13
(3 + -3x) + -2(x + 3) = -13

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

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

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

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

Solving
-3 + -5x = -13

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + -5x = -13 + 3

Combine like terms: -3 + 3 = 0
0 + -5x = -13 + 3
-5x = -13 + 3

Combine like terms: -13 + 3 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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