3x+16=12x-46

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Solution for 3x+16=12x-46 equation:


Simplifying
3x + 16 = 12x + -46

Reorder the terms:
16 + 3x = 12x + -46

Reorder the terms:
16 + 3x = -46 + 12x

Solving
16 + 3x = -46 + 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 = -46 + 12x + -12x

Combine like terms: 3x + -12x = -9x
16 + -9x = -46 + 12x + -12x

Combine like terms: 12x + -12x = 0
16 + -9x = -46 + 0
16 + -9x = -46

Add '-16' to each side of the equation.
16 + -16 + -9x = -46 + -16

Combine like terms: 16 + -16 = 0
0 + -9x = -46 + -16
-9x = -46 + -16

Combine like terms: -46 + -16 = -62
-9x = -62

Divide each side by '-9'.
x = 6.888888889

Simplifying
x = 6.888888889

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