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Title: Calculate the equation

Grade: 8-a Lesson: S4-L7

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 - 12 \| = \| x - 10 \| \$
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 - 12 = x - 10 (or) x - 12 = -( x - 10 ) = - x + 10 \$
5	Step	Move 'x' variable terms right hand side and constant terms left hand side	\$ x - x = - 10 + 12 (or) x + x = 10 + 12 \$
6	Step	After simplification we get	\$ 0 = 2 (or) 2x = 22 \$
7	Step	Dividing on both sides by '2' we get	\$ \cancel2^1/\cancel2^1x = \cancel22^11/\cancel2^1 \$
8	Step	After cancellation we get	\$ x = 11 \$
9		Answer	A

Step

Type

Explanation

Answer

Problem

Calculate the equation
\$ | x - 12 | = | x - 10 | \$

Formula:

By using formula

\$| x | = | x |\$

Hint

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

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

Step

By simplifying we get

\$ x - 12 = x - 10 (or) x - 12 = -( x - 10 ) = - x + 10 \$

Step

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

\$ x - x = - 10 + 12 (or) x + x = 10 + 12 \$

Step

After simplification we get

\$ 0 = 2 (or) 2x = 22 \$

Step

Dividing on both sides by '2' we get

\$ \cancel2^1/\cancel2^1x = \cancel22^11/\cancel2^1 \$

Step

After cancellation we get

\$ x = 11 \$

Answer