Solve for x
x=80
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\left(5x+550\right)\times 120\times \frac{2}{5}=5x\times 114
Variable x cannot be equal to any of the values -110,0 since division by zero is not defined. Multiply both sides of the equation by 5x\left(x+110\right), the least common multiple of x,5,x+110.
\left(5x+550\right)\times 48=5x\times 114
Multiply 120 and \frac{2}{5} to get 48.
240x+26400=5x\times 114
Use the distributive property to multiply 5x+550 by 48.
240x+26400=570x
Multiply 5 and 114 to get 570.
240x+26400-570x=0
Subtract 570x from both sides.
-330x+26400=0
Combine 240x and -570x to get -330x.
-330x=-26400
Subtract 26400 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-26400}{-330}
Divide both sides by -330.
x=80
Divide -26400 by -330 to get 80.
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