Step-4

Title: Calculate the equation

Grade: 8-a Lesson: S3-L8

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step Type Explanation Answer

1

Problem

Calculate the equation
\$ 3| x + 4 | + 2 = 16 \$

2

Step

Adding - 2 on both sides we get

\$ 3| x + 4 | + \cancel2 - \cancel2 = 16 - 2 \$

3

Step

After cancellation we get

\$ 3| x + 4 | = 14 \$

4

Step

Dividing on both sides by 3 we get

\$ \cancel3/\cancel3| x + 4 | = 14/3 \$

5

Step

After cancellation we get

\$ | x + 4 | = 14/3 \$

6

Formula:

By using formula

\$| x | = a\$

7

Hint

By removing mod we get(+) or (-)

\$x = a (or) x = - a \$

8

Step

Here 'a' is \$14/3\$

\$ x + 4 = 14/3 (or) x + 4 = - 14/3 \$

9

Step

Adding - 4 on both sides we get

\$ x + \cancel4 - \cancel4 = 14/3 - 4 (or) x + \cancel4 - \cancel4 = - 14/3 - 4 \$

10

Step

After cancellation we get

\$ x = 14/3 - 4 (or) x = - 14/3 - 4 \$

11

Hint

Taking LCM as 3

12

Step

After simplification

\$ x = (14 - 12)/3 (or) x = (-14 - 12)/3 \$

13

Step

After simplification we get

\$ x = 2/3 (or) x = - 26/3 \$

14

Answer

A


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