Solve for x
x=13
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6\left(x-3\right)-5\left(x-4\right)=15
Multiply both sides of the equation by 15, the least common multiple of 5,3.
6x-18-5\left(x-4\right)=15
Use the distributive property to multiply 6 by x-3.
6x-18-5x+20=15
Use the distributive property to multiply -5 by x-4.
x-18+20=15
Combine 6x and -5x to get x.
x+2=15
Add -18 and 20 to get 2.
x=15-2
Subtract 2 from both sides.
x=13
Subtract 2 from 15 to get 13.
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