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Step-4

Title: Calculate the equation

Grade: 8-a Lesson: S4-L2

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

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Calculate the equation \$ \| 4x + 14 \| = \| -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	\$ 4x + 14 = -x (or) 4x + 14 = -(-x) = x \$
5	Step	Move 'x' variable terms right hand side and constant terms left hand side	\$ 4x + x = -14 (or) 4x - x = -14 \$
6	Step	After simplification we get	\$ 5x = - 14 (or) 3x = -14 \$
7	Step	Dividing on both sides '5' and '3'	\$ \cancel5/\cancel5x = -14/5 (or) \cancel(3)/\cancel(3)x = -14/3 \$
8	Step	After cancellation we get	\$ x = -14/5 (or) x = -14/3 \$
9		Answer	D

Step

Type

Explanation

Answer

Problem

Calculate the equation
\$ | 4x + 14 | = | -x | \$

Formula:

By using formula

\$| x | = | x | \$

Hint

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

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

Step

By simplifying we get

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

Step

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

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

Step

After simplification we get

\$ 5x = - 14 (or) 3x = -14 \$

Step

Dividing on both sides '5' and '3'

\$ \cancel5/\cancel5x = -14/5 (or) \cancel(3)/\cancel(3)x = -14/3 \$

Step

After cancellation we get

\$ x = -14/5 (or) x = -14/3 \$

Answer