3x+24=5x-80

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Solution for 3x+24=5x-80 equation:


Simplifying
3x + 24 = 5x + -80

Reorder the terms:
24 + 3x = 5x + -80

Reorder the terms:
24 + 3x = -80 + 5x

Solving
24 + 3x = -80 + 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.
24 + 3x + -5x = -80 + 5x + -5x

Combine like terms: 3x + -5x = -2x
24 + -2x = -80 + 5x + -5x

Combine like terms: 5x + -5x = 0
24 + -2x = -80 + 0
24 + -2x = -80

Add '-24' to each side of the equation.
24 + -24 + -2x = -80 + -24

Combine like terms: 24 + -24 = 0
0 + -2x = -80 + -24
-2x = -80 + -24

Combine like terms: -80 + -24 = -104
-2x = -104

Divide each side by '-2'.
x = 52

Simplifying
x = 52

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