(5x+13)=(9x-31)

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Solution for (5x+13)=(9x-31) equation:


Simplifying
(5x + 13) = (9x + -31)

Reorder the terms:
(13 + 5x) = (9x + -31)

Remove parenthesis around (13 + 5x)
13 + 5x = (9x + -31)

Reorder the terms:
13 + 5x = (-31 + 9x)

Remove parenthesis around (-31 + 9x)
13 + 5x = -31 + 9x

Solving
13 + 5x = -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.
13 + 5x + -9x = -31 + 9x + -9x

Combine like terms: 5x + -9x = -4x
13 + -4x = -31 + 9x + -9x

Combine like terms: 9x + -9x = 0
13 + -4x = -31 + 0
13 + -4x = -31

Add '-13' to each side of the equation.
13 + -13 + -4x = -31 + -13

Combine like terms: 13 + -13 = 0
0 + -4x = -31 + -13
-4x = -31 + -13

Combine like terms: -31 + -13 = -44
-4x = -44

Divide each side by '-4'.
x = 11

Simplifying
x = 11

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