Solve 88%text{of}370+24%text{of}210-x=118

$$88 \% \text { of } 370 + 24 \% \text { of } 210 - x = 118$$

Solve for x

$$x=258$$

Steps for Solving Linear Equation

Reduce the fraction \frac{88}{100} to lowest terms by extracting and canceling out 4.

$$\frac{22}{25}\times 370+\frac{24}{100}\times 210-x=118$$

Express \frac{22}{25}\times 370 as a single fraction.

$$\frac{22\times 370}{25}+\frac{24}{100}\times 210-x=118$$

Multiply 22 and 370 to get 8140.

$$\frac{8140}{25}+\frac{24}{100}\times 210-x=118$$

Reduce the fraction \frac{8140}{25} to lowest terms by extracting and canceling out 5.

$$\frac{1628}{5}+\frac{24}{100}\times 210-x=118$$

Reduce the fraction \frac{24}{100} to lowest terms by extracting and canceling out 4.

$$\frac{1628}{5}+\frac{6}{25}\times 210-x=118$$

Express \frac{6}{25}\times 210 as a single fraction.

$$\frac{1628}{5}+\frac{6\times 210}{25}-x=118$$

Multiply 6 and 210 to get 1260.

$$\frac{1628}{5}+\frac{1260}{25}-x=118$$

Reduce the fraction \frac{1260}{25} to lowest terms by extracting and canceling out 5.

$$\frac{1628}{5}+\frac{252}{5}-x=118$$

Since \frac{1628}{5} and \frac{252}{5} have the same denominator, add them by adding their numerators.

$$\frac{1628+252}{5}-x=118$$

Add 1628 and 252 to get 1880.

$$\frac{1880}{5}-x=118$$

Divide 1880 by 5 to get 376.

$$376-x=118$$

Subtract 376 from both sides.

$$-x=118-376$$

Subtract 376 from 118 to get -258.

$$-x=-258$$

Multiply both sides by -1.

$$x=258$$