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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: \$ (((3x)/2) + 4) /5 = 5 \$
2	Hint	Multiplying "5" on both sides we get	\$ (((3x)/2) + 4) /\cancel5^1\times\cancel5^1 = 5\times5 \$
3	Step	After cancellation we get	\$ ((3x)/2) + 4 = 25 \$
4	Step	Adding "-4" on both sides	\$ ((3x)/2) + \cancel(4) - \cancel(4) = 25 - 4 \$
5	Step	After cancellation	\$ (3x)/2 = 21 \$
6	Step	Multiplying "2" on both sides	\$ (3x)/\cancel(2)^1\times\cancel(2)^1 = 21\times2 \$
7	Step	After Cancellation	3 x = 42
8	Step	Dividing "3" on both sides	\$ (\cancel3^1x)/\cancel3^1 = \cancel(42)^14/\cancel3^1 \$
9	Step	After cancellation	x = 14
10		Answer	A

Step

Type

Explanation

Answer

Problem

Simplify the equation:
\$ (((3x)/2) + 4) /5 = 5 \$

Hint

Multiplying "5" on both sides we get

\$ (((3x)/2) + 4) /\cancel5^1\times\cancel5^1 = 5\times5 \$

Step

After cancellation we get

\$ ((3x)/2) + 4 = 25 \$

Step

Adding "-4" on both sides

\$ ((3x)/2) + \cancel(4) - \cancel(4) = 25 - 4 \$

Step

After cancellation

\$ (3x)/2 = 21 \$

Step

Multiplying "2" on both sides

\$ (3x)/\cancel(2)^1\times\cancel(2)^1 = 21\times2 \$

Step

After Cancellation

3 x = 42

Step

Dividing "3" on both sides

\$ (\cancel3^1x)/\cancel3^1 = \cancel(42)^14/\cancel3^1 \$

Step

After cancellation

x = 14

Answer