Solve 0.13x+0.13{(x+500)}=531

$$0.13 x + 0.13 {( x + 500 )} = 531$$

Solve for x

$$x = \frac{23300}{13} = 1792\frac{4}{13} \approx 1792.307692308$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.13 by x+500.

$$0.13x+0.13x+65=531$$

Combine 0.13x and 0.13x to get 0.26x.

$$0.26x+65=531$$

Subtract 65 from both sides.

$$0.26x=531-65$$

Subtract 65 from 531 to get 466.

$$0.26x=466$$

Divide both sides by 0.26.

$$x=\frac{466}{0.26}$$

Expand \frac{466}{0.26} by multiplying both numerator and the denominator by 100.

$$x=\frac{46600}{26}$$

Reduce the fraction \frac{46600}{26} to lowest terms by extracting and canceling out 2.

$$x=\frac{23300}{13}$$