5x+13=9x-13

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Solution for 5x+13=9x-13 equation:


Simplifying
5x + 13 = 9x + -13

Reorder the terms:
13 + 5x = 9x + -13

Reorder the terms:
13 + 5x = -13 + 9x

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

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

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

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

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

Combine like terms: -13 + -13 = -26
-4x = -26

Divide each side by '-4'.
x = 6.5

Simplifying
x = 6.5

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