Solve 72x+48left(x-25/60right)=360-100

$$72x+48 \left( x- \frac{ 25 }{ 60 } \right) = 360-100$$

Solve for x

$$x = \frac{7}{3} = 2\frac{1}{3} \approx 2.333333333$$

Steps for Solving Linear Equation

Reduce the fraction \frac{25}{60} to lowest terms by extracting and canceling out 5.

$$72x+48\left(x-\frac{5}{12}\right)=360-100$$

Use the distributive property to multiply 48 by x-\frac{5}{12}.

$$72x+48x+48\left(-\frac{5}{12}\right)=360-100$$

Express 48\left(-\frac{5}{12}\right) as a single fraction.

$$72x+48x+\frac{48\left(-5\right)}{12}=360-100$$

Multiply 48 and -5 to get -240.

$$72x+48x+\frac{-240}{12}=360-100$$

Divide -240 by 12 to get -20.

$$72x+48x-20=360-100$$

Combine 72x and 48x to get 120x.

$$120x-20=360-100$$

Subtract 100 from 360 to get 260.

$$120x-20=260$$

Add 20 to both sides.

$$120x=260+20$$

Add 260 and 20 to get 280.

$$120x=280$$

Divide both sides by 120.

$$x=\frac{280}{120}$$

Reduce the fraction \frac{280}{120} to lowest terms by extracting and canceling out 40.

$$x=\frac{7}{3}$$