Solve 15.09(300+x)=0.97(5000+x)

$$15.09 ( 300 + x ) = 0.97 ( 5000 + x )$$

Solve for x

$$x = \frac{8075}{353} = 22\frac{309}{353} \approx 22.875354108$$

Steps for Solving Linear Equation

Use the distributive property to multiply 15.09 by 300+x.

$$4527+15.09x=0.97\left(5000+x\right)$$

Use the distributive property to multiply 0.97 by 5000+x.

$$4527+15.09x=4850+0.97x$$

Subtract 0.97x from both sides.

$$4527+15.09x-0.97x=4850$$

Combine 15.09x and -0.97x to get 14.12x.

$$4527+14.12x=4850$$

Subtract 4527 from both sides.

$$14.12x=4850-4527$$

Subtract 4527 from 4850 to get 323.

$$14.12x=323$$

Divide both sides by 14.12.

$$x=\frac{323}{14.12}$$

Expand \frac{323}{14.12} by multiplying both numerator and the denominator by 100.

$$x=\frac{32300}{1412}$$

Reduce the fraction \frac{32300}{1412} to lowest terms by extracting and canceling out 4.

$$x=\frac{8075}{353}$$