5x+31=7x+13

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Solution for 5x+31=7x+13 equation:


Simplifying
5x + 31 = 7x + 13

Reorder the terms:
31 + 5x = 7x + 13

Reorder the terms:
31 + 5x = 13 + 7x

Solving
31 + 5x = 13 + 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.
31 + 5x + -7x = 13 + 7x + -7x

Combine like terms: 5x + -7x = -2x
31 + -2x = 13 + 7x + -7x

Combine like terms: 7x + -7x = 0
31 + -2x = 13 + 0
31 + -2x = 13

Add '-31' to each side of the equation.
31 + -31 + -2x = 13 + -31

Combine like terms: 31 + -31 = 0
0 + -2x = 13 + -31
-2x = 13 + -31

Combine like terms: 13 + -31 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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