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 = -34
-7x = -34

Divide each side by '-7'.
x = 4.857142857

Simplifying
x = 4.857142857

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