-2(x-1)-5=3x-13

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Solution for -2(x-1)-5=3x-13 equation:


Simplifying
-2(x + -1) + -5 = 3x + -13

Reorder the terms:
-2(-1 + x) + -5 = 3x + -13
(-1 * -2 + x * -2) + -5 = 3x + -13
(2 + -2x) + -5 = 3x + -13

Reorder the terms:
2 + -5 + -2x = 3x + -13

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

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

Solving
-3 + -2x = -13 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-3 + -2x + -3x = -13 + 3x + -3x

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

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

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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