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Example 1: Solve
2
x  14
3
2
2 14 2
x  
3
3 1 3
2
3 14 3
x  
3
2 1 2
6
42
x
6
2
x  21
2
x  14
3
Original equation
Divide both sides by
2/3 to isolate the
variable.
Rewrite as multiplication
using the reciprocal of
the divisor on both sides.
Then, multiply.
Cancel out the 6s
and reduce 42/2.
Solution
Example 2: Solve 2 x 
1
2x 
3
2x 1 2
 
2 3 1
2x 1 1
 
2 3 2
2x 1

2 6
1
x
6
1
3
Original equation
Divide both sides by 2
to isolate the variable.
Rewrite as multiplication
using the reciprocal of
the divisor on both sides.
Then, multiply.
Cancel out the 2s.
Solution
Example 3: Solve
5x
4
6
5x 5
5
  4
6 6
6
5x 6 4 6
  
6 5 1 5
30 x 24

30
5
4
x4
5
5x
4
6
Original equation
Divide both sides by 5/6
to isolate the variable.
Rewrite as multiplication
using the reciprocal of
the divisor on both sides.
Then, multiply.
Cancel out the 30s. And
write 24/5 as a mixed
number.
Solution
Try these: Solve the following equations.
3
1.) x  25
5
2
2.) 7 x 
5
5y
3.)
6
8
Real-Life Application
James spent his Saturday afternoon playing video games. If James
1
won 5 games, which represents
of the games that he played,
4
how many games did he play in all? Set up and solve an equation
to find the answer.