Further Algebra: Linear Equations Part 4

Sometimes, you have to solve an equation this is a fraction of ‘x’ or has ‘x’ divided by a certain number to start and we need to know how to treat it.

Let us take a look at an example.

If we have to solve the equation ‘x’ divided by 3 plus 7 is equal to 13.

The first thing we need to do in this case, is we need to reverse the 7 operation, so we subtract 7 from both sides, we do that to balance the equation.

We then simplify and get ‘x’ divided by 3 is equal to 6.  

In this case, because we have ‘x’ divided by 3 and we have to apply the opposite operation, we say we have to multiply both sides by 3, and if we multiply both sides by 3 we finally get ‘x’ is equal to 18.  

The 3’s would cancel on the left-hand side leaving us with just ‘x’ and we multiply 6 by 3 to get 18.  

So, when we have a fraction of ‘x’ that we need to find, we need to simply multiply by whatever the denominator is.