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Step-5

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 - 7\| = - 5 \$
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 '-5'	\$-x - 7 = - 5 (or) -x - 7 = - (-5)\$
5	Step	After multiplication we get	\$-x - 7 = - 5 (or)- x - 7 = 5 \$
6	Step	Adding "+ 7" on both sides we get	\$- x - \cancel7 + \cancel7 = -5 + 7 (or) -x - \cancel7 + \cancel7 = 5 + 7 \$
7	Step	After cancellation we get	\$-x = 2 (or) -x = 12 \$
8	Step	Multiplying "-" on both sides we get	\$-(-x) = - (-2) (or) -(-x) = - 12\$
9	Step	After multiplication we get	\$ x = -2 (or) x = - 12 \$
10		Answer	D

Step

Type

Explanation

Answer

Problem

Solve the equation
\$ |- x - 7| = - 5 \$

Formula:

By using formula

\$| x | = a \$

Hint

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

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

Step

Here 'a' is '-5'

\$-x - 7 = - 5 (or) -x - 7 = - (-5)\$

Step

After multiplication we get

\$-x - 7 = - 5 (or)- x - 7 = 5 \$

Step

Adding "+ 7" on both sides we get

\$- x - \cancel7 + \cancel7 = -5 + 7 (or) -x - \cancel7 + \cancel7 = 5 + 7 \$

Step

After cancellation we get

\$-x = 2 (or) -x = 12 \$

Step

Multiplying "-" on both sides we get

\$-(-x) = - (-2) (or) -(-x) = - 12\$

Step

After multiplication we get

\$ x = -2 (or) x = - 12 \$

Answer