13x-7=9x+31

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Solution for 13x-7=9x+31 equation:


Simplifying
13x + -7 = 9x + 31

Reorder the terms:
-7 + 13x = 9x + 31

Reorder the terms:
-7 + 13x = 31 + 9x

Solving
-7 + 13x = 31 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-7 + 13x + -9x = 31 + 9x + -9x

Combine like terms: 13x + -9x = 4x
-7 + 4x = 31 + 9x + -9x

Combine like terms: 9x + -9x = 0
-7 + 4x = 31 + 0
-7 + 4x = 31

Add '7' to each side of the equation.
-7 + 7 + 4x = 31 + 7

Combine like terms: -7 + 7 = 0
0 + 4x = 31 + 7
4x = 31 + 7

Combine like terms: 31 + 7 = 38
4x = 38

Divide each side by '4'.
x = 9.5

Simplifying
x = 9.5

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