Solve 80/100(x+300)=x+90

$$\frac{ 80 }{ 100 } (x+300)=x+90$$

Solve for x

$$x=750$$

Steps for Solving Linear Equation

Reduce the fraction \frac{80}{100} to lowest terms by extracting and canceling out 20.

$$\frac{4}{5}\left(x+300\right)=x+90$$

Use the distributive property to multiply \frac{4}{5} by x+300.

$$\frac{4}{5}x+\frac{4}{5}\times 300=x+90$$

Express \frac{4}{5}\times 300 as a single fraction.

$$\frac{4}{5}x+\frac{4\times 300}{5}=x+90$$

Multiply 4 and 300 to get 1200.

$$\frac{4}{5}x+\frac{1200}{5}=x+90$$

Divide 1200 by 5 to get 240.

$$\frac{4}{5}x+240=x+90$$

Subtract x from both sides.

$$\frac{4}{5}x+240-x=90$$

Combine \frac{4}{5}x and -x to get -\frac{1}{5}x.

$$-\frac{1}{5}x+240=90$$

Subtract 240 from both sides.

$$-\frac{1}{5}x=90-240$$

Subtract 240 from 90 to get -150.

$$-\frac{1}{5}x=-150$$

Multiply both sides by -5, the reciprocal of -\frac{1}{5}.

$$x=-150\left(-5\right)$$

Multiply -150 and -5 to get 750.

$$x=750$$