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5x-13=2x-5
Anything divided by one gives itself.
5x-13-2x=-5
Subtract 2x from both sides.
3x-13=-5
Combine 5x and -2x to get 3x.
3x=-5+13
Add 13 to both sides.
3x=8
Add -5 and 13 to get 8.
x=\frac{8}{3}
Divide both sides by 3.