Lesson Example Discussion Quiz: Class Homework |
Step-3 |
Title: Simplify the equation |
Grade: 9-a Lesson: S2-L1 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Simplify the equation: |
|
2 |
Step |
After simplification |
\$ (\cancel(2)^1((4x+7)/6))/(\cancel(2)^1) - 1/2 + 5 = 3 \$ |
3 |
Step |
After cancellation |
\$ (((4x+7)/6) - 1/2) + 5 = 3 \$ |
4 |
Step |
Adding "-5" on both sides |
\$ ((4x+7)/6) - 1/2 + \cancel(5) - \cancel(5) = 3 - 5 \$ |
5 |
Step |
After cancellation |
\$ (4x+7)/6 - 1/2 = - 2 \$ |
6 |
Step |
Taking LCM as "6" |
\$ (4x + 7 - 3)/6 = -2 \$ |
7 |
Step |
After Simplification |
\$ (4x + 4)/6 = -2 \$ |
8 |
Step |
Multiplying "6" on both sides |
\$ (4x + 4)/\cancel(6)^1\times\cancel(6)^1 = -2\times6 \$ |
9 |
Step |
After cancellation |
\$ 4x + 4 = -12 \$ |
10 |
Step |
Adding "-1" on both sides |
\$ 4x + \cancel4 - \cancel4 = -12 - 4 \$ |
11 |
Step |
After cancellation |
\$ 4x = -16 \$ |
12 |
Step |
Dividing "4" on both sides |
\$ (\cancel(4)^1x)/\cancel(4)^1 = -(\cancel(16)^4)/\cancel(4)^1 \$ |
13 |
Step |
After cancellation |
x = - 4 |
14 |
Answer |
C |
|
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