Solve 403+x/647+x=0.63

$$\frac { 403 + x } { 647 + x } = 0.63$$

Solve for x

$$x = \frac{461}{37} = 12\frac{17}{37} \approx 12.459459459$$

Steps for Solving Linear Equation

Variable x cannot be equal to -647 since division by zero is not defined. Multiply both sides of the equation by x+647.

$$403+x=0.63\left(x+647\right)$$

Use the distributive property to multiply 0.63 by x+647.

$$403+x=0.63x+407.61$$

Subtract 0.63x from both sides.

$$403+x-0.63x=407.61$$

Combine x and -0.63x to get 0.37x.

$$403+0.37x=407.61$$

Subtract 403 from both sides.

$$0.37x=407.61-403$$

Subtract 403 from 407.61 to get 4.61.

$$0.37x=4.61$$

Divide both sides by 0.37.

$$x=\frac{4.61}{0.37}$$

Expand \frac{4.61}{0.37} by multiplying both numerator and the denominator by 100.

$$x=\frac{461}{37}$$