-2(x+4)-5=3x-8

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Solution for -2(x+4)-5=3x-8 equation:


Simplifying
-2(x + 4) + -5 = 3x + -8

Reorder the terms:
-2(4 + x) + -5 = 3x + -8
(4 * -2 + x * -2) + -5 = 3x + -8
(-8 + -2x) + -5 = 3x + -8

Reorder the terms:
-8 + -5 + -2x = 3x + -8

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

Reorder the terms:
-13 + -2x = -8 + 3x

Solving
-13 + -2x = -8 + 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.
-13 + -2x + -3x = -8 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-13 + -5x = -8 + 0
-13 + -5x = -8

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

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

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

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

Simplifying
x = -1

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