7x+24=12x-12

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Solution for 7x+24=12x-12 equation:


Simplifying
7x + 24 = 12x + -12

Reorder the terms:
24 + 7x = 12x + -12

Reorder the terms:
24 + 7x = -12 + 12x

Solving
24 + 7x = -12 + 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 + 7x + -12x = -12 + 12x + -12x

Combine like terms: 7x + -12x = -5x
24 + -5x = -12 + 12x + -12x

Combine like terms: 12x + -12x = 0
24 + -5x = -12 + 0
24 + -5x = -12

Add '-24' to each side of the equation.
24 + -24 + -5x = -12 + -24

Combine like terms: 24 + -24 = 0
0 + -5x = -12 + -24
-5x = -12 + -24

Combine like terms: -12 + -24 = -36
-5x = -36

Divide each side by '-5'.
x = 7.2

Simplifying
x = 7.2

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