Solve 25+x/x=58/32

$$\frac{ 25+x }{ x } = \frac{ 58 }{ 32 }$$

Solve for x

$$x = \frac{400}{13} = 30\frac{10}{13} \approx 30.769230769$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 32x, the least common multiple of x,32.

$$32\left(25+x\right)=x\times 58$$

Use the distributive property to multiply 32 by 25+x.

$$800+32x=x\times 58$$

Subtract x\times 58 from both sides.

$$800+32x-x\times 58=0$$

Combine 32x and -x\times 58 to get -26x.

$$800-26x=0$$

Subtract 800 from both sides. Anything subtracted from zero gives its negation.

$$-26x=-800$$

Divide both sides by -26.

$$x=\frac{-800}{-26}$$

Reduce the fraction \frac{-800}{-26} to lowest terms by extracting and canceling out -2.

$$x=\frac{400}{13}$$