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Equations, Equations,
Equations
3102.3.11 Solve multi-step linear
equations with one variable.
Solving Equations by Adding and
Subtracting
x – 8 = 17
+ 8 = +8
x
= 25
What happens when two signs are beside
each other??
x + (-3) = -9
x - 3 = -9
+ 3 = +3
x
= -6
Do Leave, Change, Opposite
The changes are in red! Now SOLVE!!
Do the opposite & Add 3 to both sides!
Try this one!!
y – ( -8) = 15
y + 8
- 8
y
= 15
-8
= 7
Solving Equations Using Multiplication
and Division
-5x = 25
-5 -5
x = -5
Try a Division Problem
x
 9
6
1
x = 54
Solving Two-Step Equations
5x + 2 = 27
- 2 = -2
5x
= 25
5
5
x
= 5
Try this one!!
6x + 9 = 27
- 9 = -9
6x
= 18
6
6
x
= 3
Try this one!
x
 8  2
3
+ 8 = + 8
x
3
x
=
6
=
1
18
Solving Equations with
Variables on Both Sides
2x – 8
-x
1x - 8
+ 8
1x
= x + 17
-x
=
17
=
+8
=
25
or
x
=
25
Try this one!
3(5x + 2) = 2(3x – 6)
15x
-6x
9x
+ 6 =
6x
-6x
+ 6
- 6
=
=
=
x
= -2
9x
9
- 12
- 12
- 6
- 18
9
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