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Step-3

Title: Solve the equation

Grade: 8-a Lesson: S3-L2

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

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Solve the equation \$ \|- x - 4\| = 14 \$
2	Formula:	By using formula	\$\| x \| = a \$
3	Hint	By removing mod we get (+) (or) (-)	\$x = a (or) x = - a\$
4	Step	Here 'a' is '14'	\$-x - 4 = 14 (or) -x - 4 = - 14\$
5	Step	After multiplication we get	\$-x - 4 = 14 (or)- x - 4 = - 14 \$
6	Step	Adding "+ 4" on both sides we get	\$- x - \cancel4 + \cancel4 = 14 + 4 (or) -x - \cancel4 + \cancel4 = -14 + 4 \$
7	Step	After cancellation we get	\$-x = 18 (or) -x = -10 \$
8	Step	Multiplying "-" on both sides we get	\$-(-x) = - 18 (or) -(-x) = 10\$
9	Step	After multiplication we get	\$ x = -18 (or) x = 10 \$
10		Answer	C

Step

Type

Explanation

Answer

Problem

Solve the equation
\$ |- x - 4| = 14 \$

Formula:

By using formula

\$| x | = a \$

Hint

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

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

Step

Here 'a' is '14'

\$-x - 4 = 14 (or) -x - 4 = - 14\$

Step

After multiplication we get

\$-x - 4 = 14 (or)- x - 4 = - 14 \$

Step

Adding "+ 4" on both sides we get

\$- x - \cancel4 + \cancel4 = 14 + 4 (or) -x - \cancel4 + \cancel4 = -14 + 4 \$

Step

After cancellation we get

\$-x = 18 (or) -x = -10 \$

Step

Multiplying "-" on both sides we get

\$-(-x) = - 18 (or) -(-x) = 10\$

Step

After multiplication we get

\$ x = -18 (or) x = 10 \$

Answer