Solve for x
x=23
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3\left(40-x-5\right)=2\left(x-5\right)
Variable x cannot be equal to 5 since division by zero is not defined. Multiply both sides of the equation by 3\left(x-5\right), the least common multiple of x-5,3.
3\left(35-x\right)=2\left(x-5\right)
Subtract 5 from 40 to get 35.
105-3x=2\left(x-5\right)
Use the distributive property to multiply 3 by 35-x.
105-3x=2x-10
Use the distributive property to multiply 2 by x-5.
105-3x-2x=-10
Subtract 2x from both sides.
105-5x=-10
Combine -3x and -2x to get -5x.
-5x=-10-105
Subtract 105 from both sides.
-5x=-115
Subtract 105 from -10 to get -115.
x=\frac{-115}{-5}
Divide both sides by -5.
x=23
Divide -115 by -5 to get 23.
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