Step-3

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
\$ | 10x + 11 | = | -7x | \$

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

\$ 10x + 11 = -7x (or) 10x + 11 = -(-7x) = 7x \$

5

Step

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

\$ 10x + 7x = -11 (or) 10x - 7x = -11 \$

6

Step

After simplification we get

\$ 17x = - 11 (or) 3x = -11 \$

7

Step

Dividing on both sides by '17' and '3'

\$ \cancel17/\cancel17x = -11/17 (or) \cancel(3)/\cancel(3)x = -11/3 \$

8

Step

After cancellation we get

\$ x = -11/17 (or) x = -11/3 \$

9

Answer

B


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