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Step-1

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 \$ \|- 11x - 13 \| = \| 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	\$ - 11x - 13 = x (or) - 11x - 13 = - x\$
5	Step	Move 'x' variable terms right hand side and constant terms left hand side	\$ -11x - x = 13 (or) -11x + x = 13 \$
6	Step	After simplification we get	\$ -12x = 13 (or) -10x = 13 \$
7	Step	Dividing on both sides '-12' and '-10'	\$ \cancel(-12)/\cancel(-12)x = 13/(-12) (or) \cancel(-10)/\cancel(-10)x = 13/(-10) \$
8	Step	After cancellation we get	\$ x = -13/12 (or) x = -13/10 \$
9		Answer	A

Step

Type

Explanation

Answer

Problem

Calculate the equation
\$ |- 11x - 13 | = | x | \$

Formula:

By using formula

\$| x | = | x | \$

Hint

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

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

Step

By simplifying we get

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

Step

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

\$ -11x - x = 13 (or) -11x + x = 13 \$

Step

After simplification we get

\$ -12x = 13 (or) -10x = 13 \$

Step

Dividing on both sides '-12' and '-10'

\$ \cancel(-12)/\cancel(-12)x = 13/(-12) (or) \cancel(-10)/\cancel(-10)x = 13/(-10) \$

Step

After cancellation we get

\$ x = -13/12 (or) x = -13/10 \$

Answer