Solve for x
x=40
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\left(2x+10\right)\times 6000\times \frac{3}{2}=2x\times 10125
Variable x cannot be equal to any of the values -5,0 since division by zero is not defined. Multiply both sides of the equation by 2x\left(x+5\right), the least common multiple of x,2,x+5.
\left(2x+10\right)\times 9000=2x\times 10125
Multiply 6000 and \frac{3}{2} to get 9000.
18000x+90000=2x\times 10125
Use the distributive property to multiply 2x+10 by 9000.
18000x+90000=20250x
Multiply 2 and 10125 to get 20250.
18000x+90000-20250x=0
Subtract 20250x from both sides.
-2250x+90000=0
Combine 18000x and -20250x to get -2250x.
-2250x=-90000
Subtract 90000 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-90000}{-2250}
Divide both sides by -2250.
x=40
Divide -90000 by -2250 to get 40.
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