3x+16=5x-24

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Solution for 3x+16=5x-24 equation:


Simplifying
3x + 16 = 5x + -24

Reorder the terms:
16 + 3x = 5x + -24

Reorder the terms:
16 + 3x = -24 + 5x

Solving
16 + 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.
16 + 3x + -5x = -24 + 5x + -5x

Combine like terms: 3x + -5x = -2x
16 + -2x = -24 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + -2x = -24 + 0
16 + -2x = -24

Add '-16' to each side of the equation.
16 + -16 + -2x = -24 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = -24 + -16
-2x = -24 + -16

Combine like terms: -24 + -16 = -40
-2x = -40

Divide each side by '-2'.
x = 20

Simplifying
x = 20

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