8x+32=12x-24

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Solution for 8x+32=12x-24 equation:


Simplifying
8x + 32 = 12x + -24

Reorder the terms:
32 + 8x = 12x + -24

Reorder the terms:
32 + 8x = -24 + 12x

Solving
32 + 8x = -24 + 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 + 8x + -12x = -24 + 12x + -12x

Combine like terms: 8x + -12x = -4x
32 + -4x = -24 + 12x + -12x

Combine like terms: 12x + -12x = 0
32 + -4x = -24 + 0
32 + -4x = -24

Add '-32' to each side of the equation.
32 + -32 + -4x = -24 + -32

Combine like terms: 32 + -32 = 0
0 + -4x = -24 + -32
-4x = -24 + -32

Combine like terms: -24 + -32 = -56
-4x = -56

Divide each side by '-4'.
x = 14

Simplifying
x = 14

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