Solve 7200/15+x=4000

$$\frac { 7200 } { 15 + x } = 4000$$

Solve for x

$$x = -\frac{66}{5} = -13\frac{1}{5} = -13.2$$

Steps for Solving Linear Equation

Variable x cannot be equal to -15 since division by zero is not defined. Multiply both sides of the equation by x+15.

$$7200=4000\left(x+15\right)$$

Use the distributive property to multiply 4000 by x+15.

$$7200=4000x+60000$$

Swap sides so that all variable terms are on the left hand side.

$$4000x+60000=7200$$

Subtract 60000 from both sides.

$$4000x=7200-60000$$

Subtract 60000 from 7200 to get -52800.

$$4000x=-52800$$

Divide both sides by 4000.

$$x=\frac{-52800}{4000}$$

Reduce the fraction \frac{-52800}{4000} to lowest terms by extracting and canceling out 800.

$$x=-\frac{66}{5}$$