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Step-5

Title: Calculate the equation

Grade: 8-a Lesson: S3-L7

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 - 2 \| - 12 = 7 \$
2	Step	Adding + 12 on both sides we get	\$ \| x - 2 \| - \cancel12 + \cancel12 = 7 + 12 \$
3	Step	After cancellation we get	\$ \| x - 2 \| = 19 \$
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 '19'	\$ x - 2 = 19 (or) x - 2 = - 19 \$
7	Step	Adding + 2 on both sides we get	\$ x - \cancel2 + \cancel2 = 19 + 2 (or) x - \cancel2 + \cancel2 = - 19 + 2 \$
8	Step	After cancellation we get	\$ x = 21 (or) x = -17 \$
9		Answer	A

Step

Type

Explanation

Answer

Problem

Calculate the equation
\$ | x - 2 | - 12 = 7 \$

Step

Adding + 12 on both sides we get

\$ | x - 2 | - \cancel12 + \cancel12 = 7 + 12 \$

Step

After cancellation we get

\$ | x - 2 | = 19 \$

Formula:

By using formula

\$| x | = a \$

Hint

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

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

Step

Here 'a' is '19'

\$ x - 2 = 19 (or) x - 2 = - 19 \$

Step

Adding + 2 on both sides we get

\$ x - \cancel2 + \cancel2 = 19 + 2 (or) x - \cancel2 + \cancel2 = - 19 + 2 \$

Step

After cancellation we get

\$ x = 21 (or) x = -17 \$

Answer