7x+13=9x-3

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Solution for 7x+13=9x-3 equation:


Simplifying
7x + 13 = 9x + -3

Reorder the terms:
13 + 7x = 9x + -3

Reorder the terms:
13 + 7x = -3 + 9x

Solving
13 + 7x = -3 + 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 + 7x + -9x = -3 + 9x + -9x

Combine like terms: 7x + -9x = -2x
13 + -2x = -3 + 9x + -9x

Combine like terms: 9x + -9x = 0
13 + -2x = -3 + 0
13 + -2x = -3

Add '-13' to each side of the equation.
13 + -13 + -2x = -3 + -13

Combine like terms: 13 + -13 = 0
0 + -2x = -3 + -13
-2x = -3 + -13

Combine like terms: -3 + -13 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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