Solve (5085+x)div(9477+x)=0.54

$$(5085+x) \div (9477+x)=0.54$$

Solve for x

$$x = \frac{1629}{23} = 70\frac{19}{23} \approx 70.826086957$$

Steps for Solving Linear Equation

Variable x cannot be equal to -9477 since division by zero is not defined. Multiply both sides of the equation by x+9477.

$$5085+x=0.54\left(x+9477\right)$$

Use the distributive property to multiply 0.54 by x+9477.

$$5085+x=0.54x+5117.58$$

Subtract 0.54x from both sides.

$$5085+x-0.54x=5117.58$$

Combine x and -0.54x to get 0.46x.

$$5085+0.46x=5117.58$$

Subtract 5085 from both sides.

$$0.46x=5117.58-5085$$

Subtract 5085 from 5117.58 to get 32.58.

$$0.46x=32.58$$

Divide both sides by 0.46.

$$x=\frac{32.58}{0.46}$$

Expand \frac{32.58}{0.46} by multiplying both numerator and the denominator by 100.

$$x=\frac{3258}{46}$$

Reduce the fraction \frac{3258}{46} to lowest terms by extracting and canceling out 2.

$$x=\frac{1629}{23}$$