Step-5

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
\$ 8| x + 6 | + 1 = 6 \$

2

Step

Adding - 1 on both sides we get

\$ 8| x + 6 | + \cancel1 - \cancel1 = 6 - 1 \$

3

Step

After cancellation we get

\$ 8| x + 6 | = 5 \$

4

Step

Dividing on both sides by 8 we get

\$ \cancel8/\cancel8| x + 6 | = 5/8 \$

5

Step

After cancellation we get

\$ | x + 6 | = 5/8 \$

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 \$5/8\$

\$ x + 6 = 5/8 (or) x + 6 = - 5/8 \$

9

Step

Adding - 6 on both sides we get

\$ x + \cancel6 - \cancel6 = 5/8 - 6 (or) x + \cancel6 - \cancel6 = - 5/8 - 6 \$

10

Step

After cancellation we get

\$ x = 5/8 - 6 (or) x = - 5/8 - 6 \$

11

Hint

Taking LCM as 8

12

Step

After simplification

\$ x = (5 - 48)/8 (or) x = (-5 - 48)/8 \$

13

Step

After simplification we get

\$ x = -43/8 (or) x = - 53/8 \$

14

Answer

C


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