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Step-5

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 \$ \| 5x - 4 \| = \| -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	\$ 5x - 4 = -x (or) 5x - 4 = -(- x) = x\$
5	Step	Move 'x' variable terms right hand side and constant terms left hand side	\$ 5x + x = 4 (or) 5x - x = 4 \$
6	Step	After simplification we get	\$ 6x = 4 (or) 4x = 4 \$
7	Step	Dividing on both sides '6' and '4'	\$ \cancel6/\cancel6x = \cancel4^2/\cancel6^3 (or) \cancel4/\cancel4x = \cancel4^1/\cancel4^1 \$
8	Step	After cancellation we get	\$ x = 2/3 (or) x = 1 \$

Step

Type

Explanation

Answer

Problem

Calculate the equation
\$ | 5x - 4 | = | -x | \$

Formula:

By using formula

\$| x | = | x |\$

Hint

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

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

Step

By simplifying we get

\$ 5x - 4 = -x (or) 5x - 4 = -(- x) = x\$

Step

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

\$ 5x + x = 4 (or) 5x - x = 4 \$

Step

After simplification we get

\$ 6x = 4 (or) 4x = 4 \$

Step

Dividing on both sides '6' and '4'

\$ \cancel6/\cancel6x = \cancel4^2/\cancel6^3 (or) \cancel4/\cancel4x = \cancel4^1/\cancel4^1 \$

Step

After cancellation we get

\$ x = 2/3 (or) x = 1 \$