3x+31=12x-59

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Solution for 3x+31=12x-59 equation:


Simplifying
3x + 31 = 12x + -59

Reorder the terms:
31 + 3x = 12x + -59

Reorder the terms:
31 + 3x = -59 + 12x

Solving
31 + 3x = -59 + 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 + 3x + -12x = -59 + 12x + -12x

Combine like terms: 3x + -12x = -9x
31 + -9x = -59 + 12x + -12x

Combine like terms: 12x + -12x = 0
31 + -9x = -59 + 0
31 + -9x = -59

Add '-31' to each side of the equation.
31 + -31 + -9x = -59 + -31

Combine like terms: 31 + -31 = 0
0 + -9x = -59 + -31
-9x = -59 + -31

Combine like terms: -59 + -31 = -90
-9x = -90

Divide each side by '-9'.
x = 10

Simplifying
x = 10

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