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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