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15x-x-\left(-3\right)=13
To find the opposite of x-3, find the opposite of each term.
15x-x+3=13
The opposite of -3 is 3.
14x+3=13
Combine 15x and -x to get 14x.
14x=13-3
Subtract 3 from both sides.
14x=10
Subtract 3 from 13 to get 10.
x=\frac{10}{14}
Divide both sides by 14.
x=\frac{5}{7}
Reduce the fraction \frac{10}{14} to lowest terms by extracting and canceling out 2.