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Step-2

Title: Calculate the equation

Grade: 8-a Lesson: S3-L5

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

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Calculate the equation \$ \| x + 6 \| + 7 = 5 \$
2	Step	Adding - 7 on both sides we get	\$ \| x + 6 \| + \cancel7 - \cancel7 = 5 - 7 \$
3	Step	After cancellation we get	\$\| x + 6 \| = -2\$
4	Formula:	By using formula	\$\| x \| = a\$
5	Hint	By removing mod we get(+) or (-)	\$x=a (or) x=-a\$
6	Step	Here 'a' is -2	\$x + 6 = -2 (or) x + 6 = -(-2) \$
7	Step	Adding - 6 on both sides we get	\$ x + \cancel6 - \cancel6 = -2 - 6 (or) x + \cancel6 - \cancel6 = 2 - 6\$
8	Step	After cancellation we get	\$x = - 8 (or) x = - 4\$
9		Answer	D

Step

Type

Explanation

Answer

Problem

Calculate the equation
\$ | x + 6 | + 7 = 5 \$

Step

Adding - 7 on both sides we get

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

Step

After cancellation we get

\$| x + 6 | = -2\$

Formula:

By using formula

\$| x | = a\$

Hint

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

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

Step

Here 'a' is -2

\$x + 6 = -2 (or) x + 6 = -(-2) \$

Step

Adding - 6 on both sides we get

\$ x + \cancel6 - \cancel6 = -2 - 6 (or) x + \cancel6 - \cancel6 = 2 - 6\$

Step

After cancellation we get

\$x = - 8 (or) x = - 4\$

Answer