# How do you solve #x/(2x+1)=5/(4-x)#?

##### 1 Answer

Restrict the domain to avoid division by 0.

Multiply both sides by each of the numerators.

Solve the resulting quadratic.

Check your answer(s).

#### Explanation:

Given:

Restricting the domain so that division by 0 is avoided:

Multiply both sides of the equation by

Multiply both sides of the equation by

Use the distributive property on both sides:

Add

Factor the quadratic:

Please notice that I have dropped the restrictions, because it is clear that x does not become either value.

Check:

This checks