Solve 782+x/960*100=98

$$\frac { 782 + x } { 960 } \times 100 = 98$$

Solve for x

$$x = \frac{794}{5} = 158\frac{4}{5} = 158.8$$

Steps for Solving Linear Equation

Divide both sides by 100.

$$\frac{782+x}{960}=\frac{98}{100}$$

Reduce the fraction \frac{98}{100} to lowest terms by extracting and canceling out 2.

$$\frac{782+x}{960}=\frac{49}{50}$$

Multiply both sides by 960.

$$782+x=\frac{49}{50}\times 960$$

Express \frac{49}{50}\times 960 as a single fraction.

$$782+x=\frac{49\times 960}{50}$$

Multiply 49 and 960 to get 47040.

$$782+x=\frac{47040}{50}$$

Reduce the fraction \frac{47040}{50} to lowest terms by extracting and canceling out 10.

$$782+x=\frac{4704}{5}$$

Subtract 782 from both sides.

$$x=\frac{4704}{5}-782$$

Convert 782 to fraction \frac{3910}{5}.

$$x=\frac{4704}{5}-\frac{3910}{5}$$

Since \frac{4704}{5} and \frac{3910}{5} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{4704-3910}{5}$$

Subtract 3910 from 4704 to get 794.

$$x=\frac{794}{5}$$