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Step-5

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 \$ \| 5x - 16 \| = \| 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	\$ 5x - 16 = x (or) 5x - 16 = - x \$
5	Step	Move 'x' variable terms right hand side and constant terms left hand side	\$ 5x - x = 16 (or) 5x + x = 16 \$
6	Step	After simplification we get	\$ 4x = 16 (or) 6x = 16 \$
7	Step	Dividing on both sides '4' and '6'	\$ \cancel4/\cancel4x = \cancel16^4/\cancel4^1 (or) \cancel6/\cancel6x = \cancel16^8/\cancel6^3 \$
8	Step	After cancellation we get	\$ x = 4 (or) x = 8/3 \$
9		Answer	A

Step

Type

Explanation

Answer

Problem

Calculate the equation
\$ | 5x - 16 | = | x | \$

Formula:

By using formula

\$ | x | = | x |\$

Hint

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

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

Step

By simplifying we get

\$ 5x - 16 = x (or) 5x - 16 = - x \$

Step

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

\$ 5x - x = 16 (or) 5x + x = 16 \$

Step

After simplification we get

\$ 4x = 16 (or) 6x = 16 \$

Step

Dividing on both sides '4' and '6'

\$ \cancel4/\cancel4x = \cancel16^4/\cancel4^1 (or) \cancel6/\cancel6x = \cancel16^8/\cancel6^3 \$

Step

After cancellation we get

\$ x = 4 (or) x = 8/3 \$

Answer