Solve 72x+48+x-15/60=360-100

$$72 x + 48 + x - \frac { 15 } { 60 } = 360 - 100$$

Solve for x

$$x = \frac{849}{292} = 2\frac{265}{292} \approx 2.907534247$$

Steps for Solving Linear Equation

Combine 72x and x to get 73x.

$$73x+48-\frac{15}{60}=360-100$$

Reduce the fraction \frac{15}{60} to lowest terms by extracting and canceling out 15.

$$73x+48-\frac{1}{4}=360-100$$

Convert 48 to fraction \frac{192}{4}.

$$73x+\frac{192}{4}-\frac{1}{4}=360-100$$

Since \frac{192}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$73x+\frac{192-1}{4}=360-100$$

Subtract 1 from 192 to get 191.

$$73x+\frac{191}{4}=360-100$$

Subtract 100 from 360 to get 260.

$$73x+\frac{191}{4}=260$$

Subtract \frac{191}{4} from both sides.

$$73x=260-\frac{191}{4}$$

Convert 260 to fraction \frac{1040}{4}.

$$73x=\frac{1040}{4}-\frac{191}{4}$$

Since \frac{1040}{4} and \frac{191}{4} have the same denominator, subtract them by subtracting their numerators.

$$73x=\frac{1040-191}{4}$$

Subtract 191 from 1040 to get 849.

$$73x=\frac{849}{4}$$

Divide both sides by 73.

$$x=\frac{\frac{849}{4}}{73}$$

Express \frac{\frac{849}{4}}{73} as a single fraction.

$$x=\frac{849}{4\times 73}$$

Multiply 4 and 73 to get 292.

$$x=\frac{849}{292}$$