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Title: Calculate the equation

Grade: 8-a Lesson: S4-L1

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

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Calculate the equation \$ \| 4x + 2 \| = \| 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	\$ 4x + 2 = x (or) 4x + 2 = -x \$
5	Step	Move 'x' variable terms right hand side and constant terms left hand side	\$ 4x - x = -2 (or) 4x + x = - 2 \$
6	Step	After simplification we get	\$ 3x = - 2 (or) 5x = -2 \$
7	Step	Dividing on both sides '3' and '5'	\$ \cancel3/\cancel3x = -2/3 (or) \cancel5/\cancel5x = -2/5 \$
8	Step	After cancellation we get	\$ x = -2/3 (or) x = -2/5 \$
9		Answer	A

Step

Type

Explanation

Answer

Problem

Calculate the equation
\$ | 4x + 2 | = | x | \$

Formula:

By using formula

\$| x | = | x |\$

Hint

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

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

Step

By simplifying we get

\$ 4x + 2 = x (or) 4x + 2 = -x \$

Step

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

\$ 4x - x = -2 (or) 4x + x = - 2 \$

Step

After simplification we get

\$ 3x = - 2 (or) 5x = -2 \$

Step

Dividing on both sides '3' and '5'

\$ \cancel3/\cancel3x = -2/3 (or) \cancel5/\cancel5x = -2/5 \$

Step

After cancellation we get

\$ x = -2/3 (or) x = -2/5 \$

Answer