Step-2

Title: Calculate the equation

Grade: 8-a Lesson: S4-L1

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 + 2 | = | 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 + 2 = x (or) 5x + 2 = - x \$

5

Step

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

\$ 5x - x = -2 (or) 5x + x = -2 \$

6

Step

After simplification we get

\$ 4x = - 2 (or) 6x = -2 \$

7

Step

Dividing on both sides '4' and '6'

\$ \cancel4/\cancel4x = -\cancel2^1/\cancel4^2 (or) \cancel6/\cancel6x = -\cancel2/\cancel6^3 \$

8

Step

After cancellation we get

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

9

Answer

C


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