-2x-20=3(x+1)-8

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Solution for -2x-20=3(x+1)-8 equation: 


Simplifying
-2x + -20 = 3(x + 1) + -8

Reorder the terms:
-20 + -2x = 3(x + 1) + -8

Reorder the terms:
-20 + -2x = 3(1 + x) + -8
-20 + -2x = (1 * 3 + x * 3) + -8
-20 + -2x = (3 + 3x) + -8

Reorder the terms:
-20 + -2x = 3 + -8 + 3x

Combine like terms: 3 + -8 = -5
-20 + -2x = -5 + 3x

Solving
-20 + -2x = -5 + 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.
-20 + -2x + -3x = -5 + 3x + -3x

Combine like terms: -2x + -3x = -5x
-20 + -5x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-20 + -5x = -5 + 0
-20 + -5x = -5

Add '20' to each side of the equation.
-20 + 20 + -5x = -5 + 20

Combine like terms: -20 + 20 = 0
0 + -5x = -5 + 20
-5x = -5 + 20

Combine like terms: -5 + 20 = 15
-5x = 15

Divide each side by '-5'.
x = -3

Simplifying
x = -3

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