5x-7=3x-13

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


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

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

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

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

Solving for variable 'x'.

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

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

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

Combine like terms: 3x + -3x = 0
-7 + 2x = -13 + 0
-7 + 2x = -13

Add '7' to each side of the equation.
-7 + 7 + 2x = -13 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = -13 + 7
2x = -13 + 7

Combine like terms: -13 + 7 = -6
2x = -6

Divide each side by '2'.
x = -3

Simplifying
x = -3

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