3x+16=12x-56

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Solution for 3x+16=12x-56 equation:


Simplifying
3x + 16 = 12x + -56

Reorder the terms:
16 + 3x = 12x + -56

Reorder the terms:
16 + 3x = -56 + 12x

Solving
16 + 3x = -56 + 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.
16 + 3x + -12x = -56 + 12x + -12x

Combine like terms: 3x + -12x = -9x
16 + -9x = -56 + 12x + -12x

Combine like terms: 12x + -12x = 0
16 + -9x = -56 + 0
16 + -9x = -56

Add '-16' to each side of the equation.
16 + -16 + -9x = -56 + -16

Combine like terms: 16 + -16 = 0
0 + -9x = -56 + -16
-9x = -56 + -16

Combine like terms: -56 + -16 = -72
-9x = -72

Divide each side by '-9'.
x = 8

Simplifying
x = 8

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