7x+5=9x-13

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Solution for 7x+5=9x-13 equation:


Simplifying
7x + 5 = 9x + -13

Reorder the terms:
5 + 7x = 9x + -13

Reorder the terms:
5 + 7x = -13 + 9x

Solving
5 + 7x = -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.
5 + 7x + -9x = -13 + 9x + -9x

Combine like terms: 7x + -9x = -2x
5 + -2x = -13 + 9x + -9x

Combine like terms: 9x + -9x = 0
5 + -2x = -13 + 0
5 + -2x = -13

Add '-5' to each side of the equation.
5 + -5 + -2x = -13 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = -13 + -5
-2x = -13 + -5

Combine like terms: -13 + -5 = -18
-2x = -18

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

Simplifying
x = 9

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