5x+31=12x-46

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Solution for 5x+31=12x-46 equation:


Simplifying
5x + 31 = 12x + -46

Reorder the terms:
31 + 5x = 12x + -46

Reorder the terms:
31 + 5x = -46 + 12x

Solving
31 + 5x = -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.
31 + 5x + -12x = -46 + 12x + -12x

Combine like terms: 5x + -12x = -7x
31 + -7x = -46 + 12x + -12x

Combine like terms: 12x + -12x = 0
31 + -7x = -46 + 0
31 + -7x = -46

Add '-31' to each side of the equation.
31 + -31 + -7x = -46 + -31

Combine like terms: 31 + -31 = 0
0 + -7x = -46 + -31
-7x = -46 + -31

Combine like terms: -46 + -31 = -77
-7x = -77

Divide each side by '-7'.
x = 11

Simplifying
x = 11

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