7x-3=9x-13

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


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

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

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

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

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

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

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

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

Combine like terms: -13 + 3 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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