12x-16=7x-31

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Solution for 12x-16=7x-31 equation:


Simplifying
12x + -16 = 7x + -31

Reorder the terms:
-16 + 12x = 7x + -31

Reorder the terms:
-16 + 12x = -31 + 7x

Solving
-16 + 12x = -31 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
-16 + 12x + -7x = -31 + 7x + -7x

Combine like terms: 12x + -7x = 5x
-16 + 5x = -31 + 7x + -7x

Combine like terms: 7x + -7x = 0
-16 + 5x = -31 + 0
-16 + 5x = -31

Add '16' to each side of the equation.
-16 + 16 + 5x = -31 + 16

Combine like terms: -16 + 16 = 0
0 + 5x = -31 + 16
5x = -31 + 16

Combine like terms: -31 + 16 = -15
5x = -15

Divide each side by '5'.
x = -3

Simplifying
x = -3

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