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Step-5

Title: Calculate the equation

Grade: 8-a Lesson: S4-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 \$ \|- 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) = 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'	\$ \cancel(-4)/\cancel(-4)x = \cancel16^4/\cancel(-4)^1 (or) \cancel(-6)/\cancel(-6)x = \cancel16^8/\cancel(-6)^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) = 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'

\$ \cancel(-4)/\cancel(-4)x = \cancel16^4/\cancel(-4)^1 (or) \cancel(-6)/\cancel(-6)x = \cancel16^8/\cancel(-6)^3 \$

Step

After cancellation we get

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

Answer