3x+8=12x-16

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


Simplifying
3x + 8 = 12x + -16

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

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

Solving
8 + 3x = -16 + 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.
8 + 3x + -12x = -16 + 12x + -12x

Combine like terms: 3x + -12x = -9x
8 + -9x = -16 + 12x + -12x

Combine like terms: 12x + -12x = 0
8 + -9x = -16 + 0
8 + -9x = -16

Add '-8' to each side of the equation.
8 + -8 + -9x = -16 + -8

Combine like terms: 8 + -8 = 0
0 + -9x = -16 + -8
-9x = -16 + -8

Combine like terms: -16 + -8 = -24
-9x = -24

Divide each side by '-9'.
x = 2.666666667

Simplifying
x = 2.666666667

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