Question

Find x
20x + 5 = 5x +65
​

Answer 1

x=4

Explanation:

20x-5x=65-5

15x=60

x=60/15

x=4

Answer 2

• x = 4

Explanation:

In the question we are given with an equation that is 20x + 5 = 5x + 65 . And we are asked to find the value of x.

Solution :

`\longmapsto \: 20x + 5 = 5x +65`

Step 1 : Subtracting 5 on both sides :

`\longmapsto \: 20x + \bold{ \cancel{5}} - \bold{ \cancel{5}}= 5x + \bold{65 }- \bold{5}`

On further calculations, we get :

`\longmapsto \: 20x = 5x + 60`

Step 2 : Subtracting 60 on both sides :

`\longmapsto \:20x - 60 = 5x + \bold{ \cancel{60}}- \bold{ \cancel{60}}`

On further calculations, we get :

`\longmapsto \:20x - 60 = 5x`

Step 3 : Transposing 5x to left hand side and -60 to right hand side :

`\longmapsto \:20x - 5x = 60`

On further calculations , we get :

`\longmapsto \:15x = 60`

Step 4 : Divide by 15 on both sides :

`\longmapsto \: \frac{ \cancel{15}x}{ \cancel{15} } = \cancel{ (60)/(15) }`

On further calculations, we get :

`\longmapsto \: \red{ \boxed{x = 4}}`

• Therefore , value of x is 4 .

Now, we are verifying our answer by substituting value of x in given equation :

• 20x + 5 = 5x + 65

• 20 ( 4 ) + 5 = 5 ( 4 ) + 65

• 80 + 5 = 20 + 65

• 85 = 85

• L.H.S = R.H.S

• Hence, Verified .

Therefore , our answer is correct

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