Question

solve the following equation for x
|2x+7|=9

Answer 1

2x+7=9
2x=9-7
2x=2
x =2/2
x= 1 ans

Answer 2

The value of x = 1 , - 8

Given :

The equation |2x + 7| = 9

To find :

The value of x

Solution :

Step 1 of 2 :

Write down the given equation

Here the given equation is

|2x + 7| = 9

Step 2 of 2 :

Find the value of x

$\displaystyle \sf{ |2x + 7 | = 9 }$

$\displaystyle \sf{ \implies (2x + 7) = \pm \: 9}$

Case : 1

2x + 7 = + 9 gives

2x = 9 - 7

⇒ 2x = 2

⇒ x = 2/2

⇒ x = 1

Case : 2

2x + 7 = - 9 gives

2x = - 9 - 7

⇒ 2x = - 16

⇒ x = - 16/2

⇒ x = - 8

Conclusion :

Hence the required solution is x = 1 , - 8

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