Solve for x
x=15
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5\left(x-3\right)-3\left(x-5\right)=30
Multiply both sides of the equation by 15, the least common multiple of 3,5.
5x-15-3\left(x-5\right)=30
Use the distributive property to multiply 5 by x-3.
5x-15-3x+15=30
Use the distributive property to multiply -3 by x-5.
2x-15+15=30
Combine 5x and -3x to get 2x.
2x=30
Add -15 and 15 to get 0.
x=\frac{30}{2}
Divide both sides by 2.
x=15
Divide 30 by 2 to get 15.
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