3x+24=12x-75

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Solution for 3x+24=12x-75 equation:


Simplifying
3x + 24 = 12x + -75

Reorder the terms:
24 + 3x = 12x + -75

Reorder the terms:
24 + 3x = -75 + 12x

Solving
24 + 3x = -75 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
24 + 3x + -12x = -75 + 12x + -12x

Combine like terms: 3x + -12x = -9x
24 + -9x = -75 + 12x + -12x

Combine like terms: 12x + -12x = 0
24 + -9x = -75 + 0
24 + -9x = -75

Add '-24' to each side of the equation.
24 + -24 + -9x = -75 + -24

Combine like terms: 24 + -24 = 0
0 + -9x = -75 + -24
-9x = -75 + -24

Combine like terms: -75 + -24 = -99
-9x = -99

Divide each side by '-9'.
x = 11

Simplifying
x = 11

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