3x+20=5x-24

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Solution for 3x+20=5x-24 equation:


Simplifying
3x + 20 = 5x + -24

Reorder the terms:
20 + 3x = 5x + -24

Reorder the terms:
20 + 3x = -24 + 5x

Solving
20 + 3x = -24 + 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 = -24 + 5x + -5x

Combine like terms: 3x + -5x = -2x
20 + -2x = -24 + 5x + -5x

Combine like terms: 5x + -5x = 0
20 + -2x = -24 + 0
20 + -2x = -24

Add '-20' to each side of the equation.
20 + -20 + -2x = -24 + -20

Combine like terms: 20 + -20 = 0
0 + -2x = -24 + -20
-2x = -24 + -20

Combine like terms: -24 + -20 = -44
-2x = -44

Divide each side by '-2'.
x = 22

Simplifying
x = 22

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