Solve 240x+(3/2x+5)180=21300

$$240x+( \frac{ 3 }{ 2 } x+5)180=21300$$

Solve for x

$$x=40$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{3}{2}x+5 by 180.

$$240x+\frac{3}{2}x\times 180+900=21300$$

Express \frac{3}{2}\times 180 as a single fraction.

$$240x+\frac{3\times 180}{2}x+900=21300$$

Multiply 3 and 180 to get 540.

$$240x+\frac{540}{2}x+900=21300$$

Divide 540 by 2 to get 270.

$$240x+270x+900=21300$$

Combine 240x and 270x to get 510x.

$$510x+900=21300$$

Subtract 900 from both sides.

$$510x=21300-900$$

Subtract 900 from 21300 to get 20400.

$$510x=20400$$

Divide both sides by 510.

$$x=\frac{20400}{510}$$

Divide 20400 by 510 to get 40.

$$x=40$$