x+8=5x-20

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Solution for x+8=5x-20 equation:


Simplifying
x + 8 = 5x + -20

Reorder the terms:
8 + x = 5x + -20

Reorder the terms:
8 + x = -20 + 5x

Solving
8 + x = -20 + 5x

Solving for variable 'x'.

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

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

Combine like terms: x + -5x = -4x
8 + -4x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + -4x = -20 + 0
8 + -4x = -20

Add '-8' to each side of the equation.
8 + -8 + -4x = -20 + -8

Combine like terms: 8 + -8 = 0
0 + -4x = -20 + -8
-4x = -20 + -8

Combine like terms: -20 + -8 = -28
-4x = -28

Divide each side by '-4'.
x = 7

Simplifying
x = 7

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