5x-3=12x-31

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Solution for 5x-3=12x-31 equation:


Simplifying
5x + -3 = 12x + -31

Reorder the terms:
-3 + 5x = 12x + -31

Reorder the terms:
-3 + 5x = -31 + 12x

Solving
-3 + 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.
-3 + 5x + -12x = -31 + 12x + -12x

Combine like terms: 5x + -12x = -7x
-3 + -7x = -31 + 12x + -12x

Combine like terms: 12x + -12x = 0
-3 + -7x = -31 + 0
-3 + -7x = -31

Add '3' to each side of the equation.
-3 + 3 + -7x = -31 + 3

Combine like terms: -3 + 3 = 0
0 + -7x = -31 + 3
-7x = -31 + 3

Combine like terms: -31 + 3 = -28
-7x = -28

Divide each side by '-7'.
x = 4

Simplifying
x = 4

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