(3x+20)=(5x-8)

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Solution for (3x+20)=(5x-8) equation:


Simplifying
(3x + 20) = (5x + -8)

Reorder the terms:
(20 + 3x) = (5x + -8)

Remove parenthesis around (20 + 3x)
20 + 3x = (5x + -8)

Reorder the terms:
20 + 3x = (-8 + 5x)

Remove parenthesis around (-8 + 5x)
20 + 3x = -8 + 5x

Solving
20 + 3x = -8 + 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.
20 + 3x + -5x = -8 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
20 + -2x = -8 + 0
20 + -2x = -8

Add '-20' to each side of the equation.
20 + -20 + -2x = -8 + -20

Combine like terms: 20 + -20 = 0
0 + -2x = -8 + -20
-2x = -8 + -20

Combine like terms: -8 + -20 = -28
-2x = -28

Divide each side by '-2'.
x = 14

Simplifying
x = 14

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