Solve 39/26=x-2750/x

$$\frac { 39 } { 26 } = \frac { x - 2750 } { x }$$

Solve for x

$$x=-5500$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 26x, the least common multiple of 26,x.

$$x\times 39=26\left(x-2750\right)$$

Use the distributive property to multiply 26 by x-2750.

$$x\times 39=26x-71500$$

Subtract 26x from both sides.

$$x\times 39-26x=-71500$$

Combine x\times 39 and -26x to get 13x.

$$13x=-71500$$

Divide both sides by 13.

$$x=\frac{-71500}{13}$$

Divide -71500 by 13 to get -5500.

$$x=-5500$$