Solve 28%(x+50)=70

$$28 \% (x+50)=70$$

Solve for x

$$x=200$$

Steps for Solving Linear Equation

Reduce the fraction \frac{28}{100} to lowest terms by extracting and canceling out 4.

$$\frac{7}{25}\left(x+50\right)=70$$

Use the distributive property to multiply \frac{7}{25} by x+50.

$$\frac{7}{25}x+\frac{7}{25}\times 50=70$$

Express \frac{7}{25}\times 50 as a single fraction.

$$\frac{7}{25}x+\frac{7\times 50}{25}=70$$

Multiply 7 and 50 to get 350.

$$\frac{7}{25}x+\frac{350}{25}=70$$

Divide 350 by 25 to get 14.

$$\frac{7}{25}x+14=70$$

Subtract 14 from both sides.

$$\frac{7}{25}x=70-14$$

Subtract 14 from 70 to get 56.

$$\frac{7}{25}x=56$$

Multiply both sides by \frac{25}{7}, the reciprocal of \frac{7}{25}.

$$x=56\times \frac{25}{7}$$

Express 56\times \frac{25}{7} as a single fraction.

$$x=\frac{56\times 25}{7}$$

Multiply 56 and 25 to get 1400.

$$x=\frac{1400}{7}$$

Divide 1400 by 7 to get 200.

$$x=200$$