2x+24=3x-6

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Solution for 2x+24=3x-6 equation:


Simplifying
2x + 24 = 3x + -6

Reorder the terms:
24 + 2x = 3x + -6

Reorder the terms:
24 + 2x = -6 + 3x

Solving
24 + 2x = -6 + 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 = -6 + 3x + -3x

Combine like terms: 2x + -3x = -1x
24 + -1x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
24 + -1x = -6 + 0
24 + -1x = -6

Add '-24' to each side of the equation.
24 + -24 + -1x = -6 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = -6 + -24
-1x = -6 + -24

Combine like terms: -6 + -24 = -30
-1x = -30

Divide each side by '-1'.
x = 30

Simplifying
x = 30

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