3x+32=12x-76

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Solution for 3x+32=12x-76 equation: 


Simplifying
3x + 32 = 12x + -76

Reorder the terms:
32 + 3x = 12x + -76

Reorder the terms:
32 + 3x = -76 + 12x

Solving
32 + 3x = -76 + 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.
32 + 3x + -12x = -76 + 12x + -12x

Combine like terms: 3x + -12x = -9x
32 + -9x = -76 + 12x + -12x

Combine like terms: 12x + -12x = 0
32 + -9x = -76 + 0
32 + -9x = -76

Add '-32' to each side of the equation.
32 + -32 + -9x = -76 + -32

Combine like terms: 32 + -32 = 0
0 + -9x = -76 + -32
-9x = -76 + -32

Combine like terms: -76 + -32 = -108
-9x = -108

Divide each side by '-9'.
x = 12

Simplifying
x = 12

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