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Step-2

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 \$ \| 7x + 6 \| = \| -8x \|\$
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	\$ 7x + 6 = -8x (or) 7x + 6 = -(-8x) = 8x \$
5	Step	Move 'x' variable terms right hand side and constant terms left hand side	\$ 7x + 8x = -6 (or) 7x - 8x = -6 \$
6	Step	After simplification we get	\$ 15x = - 6 (or) -x = -6 \$
7	Step	Dividing on both sides '15' and '-1'	\$ \cancel15/\cancel15x = -\cancel6^2/\cancel15^5 (or) \cancel(-1)/\cancel(-1)x = (\cancel(-)6)/(\cancel(-)1) \$
8	Step	After cancellation we get	\$ x = -2/5 (or) x = 6 \$
9		Answer	A

Step

Type

Explanation

Answer

Problem

Calculate the equation
\$ | 7x + 6 | = | -8x |\$

Formula:

By using formula

\$| x | = | x | \$

Hint

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

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

Step

By simplifying we get

\$ 7x + 6 = -8x (or) 7x + 6 = -(-8x) = 8x \$

Step

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

\$ 7x + 8x = -6 (or) 7x - 8x = -6 \$

Step

After simplification we get

\$ 15x = - 6 (or) -x = -6 \$

Step

Dividing on both sides '15' and '-1'

\$ \cancel15/\cancel15x = -\cancel6^2/\cancel15^5 (or) \cancel(-1)/\cancel(-1)x = (\cancel(-)6)/(\cancel(-)1) \$

Step

After cancellation we get

\$ x = -2/5 (or) x = 6 \$

Answer