4'2 Solving MultiStep Equations

1
4.2 Solving Multi-Step Equations
2
Simplifying to Solving Multi-Step Equations
2x 3x - 4 11
Step1 Simplify (combine like terms)
5x 4 11
Step 2 Add or subtract first
4 4
5x 15
Step 3 Multiply or divide
5 5
-13 3n 3 n
x 3
4n 3 -13
-3 - 3
Its okay to change around the problem as long as
you change it correctly.
4n -16
4 4
n -4
3
Lets Do More Examples
2 (3x 4) 2
46 4x 4 6x
10x 4 46
2 3x 4 2
4 4
-3x 6 2
- 6 - 6
10x 50
10 10
3x -4
3 3
x 5
x -4/3
The negative sign can be treated as distributing
a 1 inside the parentheses.
4
More Examples Cont.
4x 7 5x 9
3x x 8 -16
-x 7 9
2x 8 -16
-7 -7
- 8 - 8
-x 2
2x -24
x -2
2 2
x -12
Your answer should be a positive x, not a
negative so, divide both sides by a -1.
5
Now You Try!
6x 2x 11 -5
p 17p 6 -38
4x 11 -5
-16 p - 6 -38
- 11 - 11
6 6
-16 p -32
4x -16
-16 -16
4 4
p 2
x -4