Solve for x
x=5
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5\left(x-1\right)+40x\times \frac{1}{10}=40
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 40x, the least common multiple of 8x,10,x.
5x-5+40x\times \frac{1}{10}=40
Use the distributive property to multiply 5 by x-1.
5x-5+4x=40
Multiply 40 and \frac{1}{10} to get 4.
9x-5=40
Combine 5x and 4x to get 9x.
9x=40+5
Add 5 to both sides.
9x=45
Add 40 and 5 to get 45.
x=\frac{45}{9}
Divide both sides by 9.
x=5
Divide 45 by 9 to get 5.
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