Solve 373+x/617+x=0.61

$$\frac { 373 + x } { 617 + x } = 0.61$$

Solve for x

$$x = \frac{337}{39} = 8\frac{25}{39} \approx 8.641025641$$

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.

$$373+x=0.61\left(x+617\right)$$

Use the distributive property to multiply 0.61 by x+617.

$$373+x=0.61x+376.37$$

Subtract 0.61x from both sides.

$$373+x-0.61x=376.37$$

Combine x and -0.61x to get 0.39x.

$$373+0.39x=376.37$$

Subtract 373 from both sides.

$$0.39x=376.37-373$$

Subtract 373 from 376.37 to get 3.37.

$$0.39x=3.37$$

Divide both sides by 0.39.

$$x=\frac{3.37}{0.39}$$

Expand \frac{3.37}{0.39} by multiplying both numerator and the denominator by 100.

$$x=\frac{337}{39}$$