2x+24=5x-30

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Solution for 2x+24=5x-30 equation:


Simplifying
2x + 24 = 5x + -30

Reorder the terms:
24 + 2x = 5x + -30

Reorder the terms:
24 + 2x = -30 + 5x

Solving
24 + 2x = -30 + 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 + 2x + -5x = -30 + 5x + -5x

Combine like terms: 2x + -5x = -3x
24 + -3x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
24 + -3x = -30 + 0
24 + -3x = -30

Add '-24' to each side of the equation.
24 + -24 + -3x = -30 + -24

Combine like terms: 24 + -24 = 0
0 + -3x = -30 + -24
-3x = -30 + -24

Combine like terms: -30 + -24 = -54
-3x = -54

Divide each side by '-3'.
x = 18

Simplifying
x = 18

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