Solve for x
x = \frac{31}{2} = 15\frac{1}{2} = 15.5
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5\left(x-8\right)=3\left(x-3\right)
Multiply both sides of the equation by 15, the least common multiple of 3,5.
5x-40=3\left(x-3\right)
Use the distributive property to multiply 5 by x-8.
5x-40=3x-9
Use the distributive property to multiply 3 by x-3.
5x-40-3x=-9
Subtract 3x from both sides.
2x-40=-9
Combine 5x and -3x to get 2x.
2x=-9+40
Add 40 to both sides.
2x=31
Add -9 and 40 to get 31.
x=\frac{31}{2}
Divide both sides by 2.
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