Solve 98/4+50-x/70=4/5

$$\frac { \frac { 98 } { 4 } + 50 - x } { 70 } = \frac { 4 } { 5 }$$

Solve for x

$$x = \frac{37}{2} = 18\frac{1}{2} = 18.5$$

Steps for Solving Linear Equation

Multiply both sides by 70.

$$\frac{98}{4}+50-x=\frac{4}{5}\times 70$$

Reduce the fraction \frac{98}{4} to lowest terms by extracting and canceling out 2.

$$\frac{49}{2}+50-x=\frac{4}{5}\times 70$$

Convert 50 to fraction \frac{100}{2}.

$$\frac{49}{2}+\frac{100}{2}-x=\frac{4}{5}\times 70$$

Since \frac{49}{2} and \frac{100}{2} have the same denominator, add them by adding their numerators.

$$\frac{49+100}{2}-x=\frac{4}{5}\times 70$$

Add 49 and 100 to get 149.

$$\frac{149}{2}-x=\frac{4}{5}\times 70$$

Express \frac{4}{5}\times 70 as a single fraction.

$$\frac{149}{2}-x=\frac{4\times 70}{5}$$

Multiply 4 and 70 to get 280.

$$\frac{149}{2}-x=\frac{280}{5}$$

Divide 280 by 5 to get 56.

$$\frac{149}{2}-x=56$$

Subtract \frac{149}{2} from both sides.

$$-x=56-\frac{149}{2}$$

Convert 56 to fraction \frac{112}{2}.

$$-x=\frac{112}{2}-\frac{149}{2}$$

Since \frac{112}{2} and \frac{149}{2} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{112-149}{2}$$

Subtract 149 from 112 to get -37.

$$-x=-\frac{37}{2}$$

Multiply both sides by -1.

$$x=\frac{37}{2}$$