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Step-2

Title: Solve the equation

Grade: 8-a Lesson: S3-L1

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 + 5\| = - 15 \$
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 '-15'	\$-x + 5 = - 15(or) -x + 5 = - (- 15)\$
5	Step	After multiplication	\$-x + 5 = - 15(or)- x + 5 = 15 \$
6	Step	Adding "- 5" on both sides	\$- x + \cancel5 - \cancel5 = -15 - 5 (or) -x + \cancel5 - \cancel5 = 15 - 5 \$
7	Step	After cancellation	\$-x = - 20 (or)- x = 10 \$
8	Step	Multiplying Negative sign on both sides	\$-(-x) = - (-20) (or) -(-x) = - 10\$
9	Step	After multiplication	\$ x = 20 (or) x = - 10 \$
10		Answer	D

Step

Type

Explanation

Answer

Problem

Solve the equation
\$ |- x + 5| = - 15 \$

Formula:

By using formula

\$| x | = a \$

Hint

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

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

Step

Here 'a' is '-15'

\$-x + 5 = - 15(or) -x + 5 = - (- 15)\$

Step

After multiplication

\$-x + 5 = - 15(or)- x + 5 = 15 \$

Step

Adding "- 5" on both sides

\$- x + \cancel5 - \cancel5 = -15 - 5 (or) -x + \cancel5 - \cancel5 = 15 - 5 \$

Step

After cancellation

\$-x = - 20 (or)- x = 10 \$

Step

Multiplying Negative sign on both sides

\$-(-x) = - (-20) (or) -(-x) = - 10\$

Step

After multiplication

\$ x = 20 (or) x = - 10 \$

Answer