5x+25=12x-31

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Solution for 5x+25=12x-31 equation:


Simplifying
5x + 25 = 12x + -31

Reorder the terms:
25 + 5x = 12x + -31

Reorder the terms:
25 + 5x = -31 + 12x

Solving
25 + 5x = -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.
25 + 5x + -12x = -31 + 12x + -12x

Combine like terms: 5x + -12x = -7x
25 + -7x = -31 + 12x + -12x

Combine like terms: 12x + -12x = 0
25 + -7x = -31 + 0
25 + -7x = -31

Add '-25' to each side of the equation.
25 + -25 + -7x = -31 + -25

Combine like terms: 25 + -25 = 0
0 + -7x = -31 + -25
-7x = -31 + -25

Combine like terms: -31 + -25 = -56
-7x = -56

Divide each side by '-7'.
x = 8

Simplifying
x = 8

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