# Algebra - Solving Equations Review

### (Including Fractional Coefficients)

See some recorded examples here
and here.

HINT:

Just because the equation has distribution in it, doesn't mean you have to
distribute.

For instance, instead of doing this:

2(3x + 4) = 20

6x + 8 = 20

6x = 12

x = 2

Do this instead

2(3x + 4) = 20

(3x + 4) = 10 [Divide both sides by 2]

3x = 6

x=2

This trick REALLY helps out when dealing with fractions.

A REMINDER ABOUT FRACTIONS:

To get rid of a fractional coefficient, multiply by the reciprocal.

For instance:

2/3 x = 10

3/2(2/3x) = 3/2 (10) [Treat 10 like 10/1]

x =
30/2
[3/2 and 2/3 cancel each other out]

x = 15