Solve 1/5(800-x)=300*9/25

$$\frac { 1 } { 5 } ( 800 - x ) = 300 \times \frac { 9 } { 25 }$$

Solve for x

$$x=260$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{5} by 800-x.

$$\frac{1}{5}\times 800+\frac{1}{5}\left(-1\right)x=300\times \frac{9}{25}$$

Multiply \frac{1}{5} and 800 to get \frac{800}{5}.

$$\frac{800}{5}+\frac{1}{5}\left(-1\right)x=300\times \frac{9}{25}$$

Divide 800 by 5 to get 160.

$$160+\frac{1}{5}\left(-1\right)x=300\times \frac{9}{25}$$

Multiply \frac{1}{5} and -1 to get -\frac{1}{5}.

$$160-\frac{1}{5}x=300\times \frac{9}{25}$$

Express 300\times \frac{9}{25} as a single fraction.

$$160-\frac{1}{5}x=\frac{300\times 9}{25}$$

Multiply 300 and 9 to get 2700.

$$160-\frac{1}{5}x=\frac{2700}{25}$$

Divide 2700 by 25 to get 108.

$$160-\frac{1}{5}x=108$$

Subtract 160 from both sides.

$$-\frac{1}{5}x=108-160$$

Subtract 160 from 108 to get -52.

$$-\frac{1}{5}x=-52$$

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

$$x=-52\left(-5\right)$$

Multiply -52 and -5 to get 260.

$$x=260$$