Solve 373+x/617+x=0.62

$$\frac { 373 + x } { 617 + x } = 0.62$$

Solve for x

$$x = \frac{477}{19} = 25\frac{2}{19} \approx 25.105263158$$

Steps for Solving Linear Equation

Variable x cannot be equal to -617 since division by zero is not defined. Multiply both sides of the equation by x+617.

$$373+x=0.62\left(x+617\right)$$

Use the distributive property to multiply 0.62 by x+617.

$$373+x=0.62x+382.54$$

Subtract 0.62x from both sides.

$$373+x-0.62x=382.54$$

Combine x and -0.62x to get 0.38x.

$$373+0.38x=382.54$$

Subtract 373 from both sides.

$$0.38x=382.54-373$$

Subtract 373 from 382.54 to get 9.54.

$$0.38x=9.54$$

Divide both sides by 0.38.

$$x=\frac{9.54}{0.38}$$

Expand \frac{9.54}{0.38} by multiplying both numerator and the denominator by 100.

$$x=\frac{954}{38}$$

Reduce the fraction \frac{954}{38} to lowest terms by extracting and canceling out 2.

$$x=\frac{477}{19}$$