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15-3x=7x-2
Use the distributive property to multiply 3 by 5-x.
15-3x-7x=-2
Subtract 7x from both sides.
15-10x=-2
Combine -3x and -7x to get -10x.
-10x=-2-15
Subtract 15 from both sides.
-10x=-17
Subtract 15 from -2 to get -17.
x=\frac{-17}{-10}
Divide both sides by -10.
x=\frac{17}{10}
Fraction \frac{-17}{-10} can be simplified to \frac{17}{10} by removing the negative sign from both the numerator and the denominator.