Solve 2/5x+48*5/6=70

$$\frac { 2 } { 5 } x + 48 \times \frac { 5 } { 6 } = 70$$

Solve for x

$$x=75$$

Steps for Solving Linear Equation

Express 48\times \frac{5}{6} as a single fraction.

$$\frac{2}{5}x+\frac{48\times 5}{6}=70$$

Multiply 48 and 5 to get 240.

$$\frac{2}{5}x+\frac{240}{6}=70$$

Divide 240 by 6 to get 40.

$$\frac{2}{5}x+40=70$$

Subtract 40 from both sides.

$$\frac{2}{5}x=70-40$$

Subtract 40 from 70 to get 30.

$$\frac{2}{5}x=30$$

Multiply both sides by \frac{5}{2}, the reciprocal of \frac{2}{5}.

$$x=30\times \frac{5}{2}$$

Express 30\times \frac{5}{2} as a single fraction.

$$x=\frac{30\times 5}{2}$$

Multiply 30 and 5 to get 150.

$$x=\frac{150}{2}$$

Divide 150 by 2 to get 75.

$$x=75$$