46-3x=12x+16

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


Simplifying
46 + -3x = 12x + 16

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

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

Combine like terms: -3x + -12x = -15x
46 + -15x = 16 + 12x + -12x

Combine like terms: 12x + -12x = 0
46 + -15x = 16 + 0
46 + -15x = 16

Add '-46' to each side of the equation.
46 + -46 + -15x = 16 + -46

Combine like terms: 46 + -46 = 0
0 + -15x = 16 + -46
-15x = 16 + -46

Combine like terms: 16 + -46 = -30
-15x = -30

Divide each side by '-15'.
x = 2

Simplifying
x = 2

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