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How can you make solving an
equation easier when there are
multiple terms?
For example: -7x -5 + 2 = 24
In this lesson you will learn
to solve equations by
combining like terms.
Let’s
Review
Let’s
Review
X+2
=
5
Let’s
Review
Let’s
Review
X+2=5
-2 -2
X
=3
Let’s
Review
Let’s
Review
X+2
=
5
A Common
Let’s
Review Mistake
Combining unlike terms
A Common
Let’s
Review Mistake
2x + 7 + 4x -2 - 5y
6x + 5 - 5y
CoreReview
Lesson
Let’s
How can we solve 2x + 3x = 45?
2x + 3x = 45
5x = 45
5= 5
x= 9
2x + 3x = 45
2*9 + 3*9 = 45
18 + 27 = 45
45 = 45

CoreReview
Lesson
Let’s
How can we solve 2x + 3x = 45?
2x + 3x = 45
2*9 + 3*9 = 45
18 + 27 = 45
45 = 45

2x + 3x = 45
5x = 45
5*9 = 45
45 = 45

CoreReview
Lesson
Let’s
What is the solution for -7x -5 + 2 = 24 ?
-7x -5 + 2 = 24
-7x - 3 = 24
+3 = +3
-7x = 27
-7 = -7
27
x= 7
-7x -5 + 2 = 24
27
-7() -5 + 2 = 24
7
27 – 5 + 2 = 24
24 = 24

CoreReview
Lesson
Let’s
What is the solution for -7x -5 + 2 = 24 ?
-7x -5 + 2 = 24
-10x = 24
-10x = 24
-10 = -10
24
12
x= =10
5
-7x -5 + 2 = 24
12
-7(- ) -5 + 2 = 24
5
84
– 5 + 2 = 24
5
13.8 = 24

In this lesson you learned
that you can solve linear
equations by combining like
terms.
Guided
Practice
Let’s
Review
Find the solution for 8x – 2x + 7 = 49.
Guided
Practice
Let’s
Review
Find the solution for -5 + 4x – 3 = 24.
Extension
Let’s
ReviewActivities
Explain what like terms are. Which terms
are like terms in the equation 2x +3x +1 = 6?
Extension
Let’s
ReviewActivities
How would you solve x + 3x – 5 = 17 ?
Explain your steps.
Extension
Let’s
ReviewActivities
Create an equation that has two like
terms.
Quick Quiz
Let’s
Review
The solution for 2x – 7 + 3 = 12 is?
a) 4 b) 1 c) -1 d) -4
The solution for 4 – 5x+ 1 = 10 is?
a) 1 b) 2 c) -2
d) -1