3x+12=8x-16

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Solution for 3x+12=8x-16 equation:


Simplifying
3x + 12 = 8x + -16

Reorder the terms:
12 + 3x = 8x + -16

Reorder the terms:
12 + 3x = -16 + 8x

Solving
12 + 3x = -16 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
12 + 3x + -8x = -16 + 8x + -8x

Combine like terms: 3x + -8x = -5x
12 + -5x = -16 + 8x + -8x

Combine like terms: 8x + -8x = 0
12 + -5x = -16 + 0
12 + -5x = -16

Add '-12' to each side of the equation.
12 + -12 + -5x = -16 + -12

Combine like terms: 12 + -12 = 0
0 + -5x = -16 + -12
-5x = -16 + -12

Combine like terms: -16 + -12 = -28
-5x = -28

Divide each side by '-5'.
x = 5.6

Simplifying
x = 5.6

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