Step-2

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
\$ 7| x + 5 | + 7 = 6 \$

2

Step

Adding '- 7' on both sides we get

\$ 7| x + 5 | + \cancel7 - \cancel7 = 6 - 7 \$

3

Step

After cancellation we get

\$ 7| x + 5 | = - 1 \$

4

Step

Dividing on both sides by '7' we get

\$ \cancel7/\cancel7| x + 5 | = -1/7 \$

5

Step

After cancellation we get

\$ | x + 5 | = -1/7 \$

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 \$-1/7\$

\$ x + 5 = -1/7 (or) x + 5 = - (-1/7) = 1/7 \$

9

Step

Adding '- 5' on both sides we get

\$ x + \cancel5 - \cancel5 = - 1/7 - 5 (or) x + \cancel5 - \cancel5 = 1/7 - 5 \$

10

Step

After cancellation we get

\$ x = - 1/7 - 5 (or) x = 1/7 - 5 \$

11

Hint

Taking LCM as '7'

12

Step

After simplification

\$ x = (-1 - 35)/7 (or) x = (1 - 35)/7 \$

13

Step

After simplification

\$ x = (-1 - 35)/7 (or) x = (1 - 35)/7 \$

14

Step

After simplification we get

\$ x = -36/7 (or) x = - 34/7 \$

15

Answer

D


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