3x-4=12x-31

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Solution for 3x-4=12x-31 equation:


Simplifying
3x + -4 = 12x + -31

Reorder the terms:
-4 + 3x = 12x + -31

Reorder the terms:
-4 + 3x = -31 + 12x

Solving
-4 + 3x = -31 + 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.
-4 + 3x + -12x = -31 + 12x + -12x

Combine like terms: 3x + -12x = -9x
-4 + -9x = -31 + 12x + -12x

Combine like terms: 12x + -12x = 0
-4 + -9x = -31 + 0
-4 + -9x = -31

Add '4' to each side of the equation.
-4 + 4 + -9x = -31 + 4

Combine like terms: -4 + 4 = 0
0 + -9x = -31 + 4
-9x = -31 + 4

Combine like terms: -31 + 4 = -27
-9x = -27

Divide each side by '-9'.
x = 3

Simplifying
x = 3

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