## How to solve linear equations with fractions on one side

Example.

Solve the equation

Solution.

We are finding the value of the variable x to solve the linear equation.

First we collect all the terms containing x on the left side of the equation.

We subtract 9x from each side of the equation to eliminate the 9x from the right side

We add 33 to each side of the equation to eliminate the 33 from the left side

We need to obtain the x by itself. We isolate the variable x by dividing both sides of the equation by -15/2

So, the solution of the linear equation is

x = -6

We should check the solution by substitution -6 into the original linear equation

So, the solution x = -6 is correct.