7x-13=5x-3

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Solution for 7x-13=5x-3 equation:


Simplifying
7x + -13 = 5x + -3

Reorder the terms:
-13 + 7x = 5x + -3

Reorder the terms:
-13 + 7x = -3 + 5x

Solving
-13 + 7x = -3 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
-13 + 7x + -5x = -3 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-13 + 2x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 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 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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