Solve 37(34/x+1)=999

$$37( \frac{ 34 }{ x } +1)=999$$

Solve for x

$$x = \frac{17}{13} = 1\frac{4}{13} \approx 1.307692308$$

Steps for Solving Linear Equation

Divide both sides by 37.

$$\frac{34}{x}+1=\frac{999}{37}$$

Divide 999 by 37 to get 27.

$$\frac{34}{x}+1=27$$

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$34+x=27x$$

Subtract 27x from both sides.

$$34+x-27x=0$$

Combine x and -27x to get -26x.

$$34-26x=0$$

Subtract 34 from both sides. Anything subtracted from zero gives its negation.

$$-26x=-34$$

Divide both sides by -26.

$$x=\frac{-34}{-26}$$

Reduce the fraction \frac{-34}{-26} to lowest terms by extracting and canceling out -2.

$$x=\frac{17}{13}$$