Step-1

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
\$ 5| x + 7 | + 4 = 15 \$

2

Step

Adding - 4 on both sides we get

\$ 5| x + 7 | + \cancel4 - \cancel4 = 15 - 4 \$

3

Step

After cancellation we get

\$ 5| x + 7 | = 11 \$

4

Step

Dividing on both sides by '5' we get

\$ \cancel5/\cancel5| x + 7 | = 11/5 \$

5

Step

After cancellation we get

\$ | x + 7 | = 11/5 \$

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 \$11/5\$

\$ x + 7 = 11/5 (or) x + 7 = - 11/5 \$

9

Step

Adding '- 7' on both sides we get

\$ x + \cancel7 - \cancel7 = 11/5 - 7 (or) x + \cancel7 - \cancel7 = - 11/5 - 7 \$

10

Step

After cancellation we get

\$ x = 11/5 - 7 (or) x = - 11/5 - 7 \$

11

Hint

Taking LCM as 5

12

Step

After simplification

\$ x = (11 - 35)/5 (or) x = (-11 - 35)/5 \$

13

Step

After simplification we get

\$ x = -24/5 (or) x = - 46/5 \$

14

Answer

C


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