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Step-4

Title: Calculate the equation

Grade: 8-a Lesson: S4-L3

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

Lesson Steps

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

Step

Type

Explanation

Answer

Problem

Calculate the equation
\$ | x - 3 | = | -4x | \$

Formula:

By using formula

\$| x | = | x |\$

Hint

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

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

Step

By simplifying we get

\$ x - 3 = -4x (or) x - 3 = -(- 4x) = 4x\$

Step

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

\$ x + 4x = 3 (or) x - 4x = 3 \$

Step

After simplification we get

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

Step

Dividing on both sides '5' and '-3 '

\$ \cancel5/\cancel5x = 3/5 (or) \cancel(-3)/\cancel(-3)x = \cancel(3)^1/\cancel(-3)^1 \$

Step

After cancellation we get

\$ x = 3/5 (or) x = -1 \$

Answer