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Title: Calculate the equation

Grade: 8-a Lesson: S4-L4

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

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Calculate the equation \$ \| 12x - 3 \| = \| x \| \$
2	Formula:	By using formula	\$ \| x \| = \| x \| \$
3	Hint	By removing mod we get(+) or (-)	\$x=x (or) x=-x \$
4	Step	By simplifying we get	\$ 12x - 3 = x (or) 12x - 3 = - x\$
5	Step	Move 'x' variable terms right hand side and constant terms left hand side	\$ 12x - x = 3 (or) 12x + x = 3 \$
6	Step	After simplification we get	\$ 11x = 3 (or) 13x = 3 \$
7	Step	Dividing on both sides '11' and '13'	\$ \cancel11/\cancel11x = 3/11 (or) \cancel13/\cancel13x = 3/13 \$
8	Step	After cancellation we get	\$ x = 3/11 (or) x = 3/13 \$
9		Answer	A

Step

Type

Explanation

Answer

Problem

Calculate the equation
\$ | 12x - 3 | = | x | \$

Formula:

By using formula

\$ | x | = | x | \$

Hint

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

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

Step

By simplifying we get

\$ 12x - 3 = x (or) 12x - 3 = - x\$

Step

Move 'x' variable terms right hand side and constant terms left hand side

\$ 12x - x = 3 (or) 12x + x = 3 \$

Step

After simplification we get

\$ 11x = 3 (or) 13x = 3 \$

Step

Dividing on both sides '11' and '13'

\$ \cancel11/\cancel11x = 3/11 (or) \cancel13/\cancel13x = 3/13 \$

Step

After cancellation we get

\$ x = 3/11 (or) x = 3/13 \$

Answer