Solve for x
x=89
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10\left(65-x\right)=3\left(9-x\right)
Multiply both sides of the equation by 150, the least common multiple of 15,50.
650-10x=3\left(9-x\right)
Use the distributive property to multiply 10 by 65-x.
650-10x=27-3x
Use the distributive property to multiply 3 by 9-x.
650-10x+3x=27
Add 3x to both sides.
650-7x=27
Combine -10x and 3x to get -7x.
-7x=27-650
Subtract 650 from both sides.
-7x=-623
Subtract 650 from 27 to get -623.
x=\frac{-623}{-7}
Divide both sides by -7.
x=89
Divide -623 by -7 to get 89.
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