2x+24=3x-16

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Solution for 2x+24=3x-16 equation:


Simplifying
2x + 24 = 3x + -16

Reorder the terms:
24 + 2x = 3x + -16

Reorder the terms:
24 + 2x = -16 + 3x

Solving
24 + 2x = -16 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
24 + 2x + -3x = -16 + 3x + -3x

Combine like terms: 2x + -3x = -1x
24 + -1x = -16 + 3x + -3x

Combine like terms: 3x + -3x = 0
24 + -1x = -16 + 0
24 + -1x = -16

Add '-24' to each side of the equation.
24 + -24 + -1x = -16 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = -16 + -24
-1x = -16 + -24

Combine like terms: -16 + -24 = -40
-1x = -40

Divide each side by '-1'.
x = 40

Simplifying
x = 40

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