Solve 4x + 6 = 3

This is an example of a linear equation. 
To find x we can apply the same operations to both sides in order to isolate x.
First we can subtract 6 from both sides.
This gives us 4x on the left and -3 on the right.
4x represents 4 being multiplied by x.
In order to get just x on the left hand side of the equation we must divide by 4.
We must also divide the right hand side by 4 to keep the equation balanced.
Diving by 4 gives us x = - 3/4. 
We have found x by applying the same operations to both sides to keep the equation balanced.