Question

What is the solution to the equation 2(×+2. 4)=6. 4

Answer 1

0.8

Explanation:

2x + 4.8 = 6.4

2x = 6.4 - 4.8

2x = 1.6

x = 0.8

Answer 2

• x = 0.8

Explanation:

In the question we're given with an equation that is 2 ( x + 2.4 ) = 6.4 . And we're asked to find the solution of the equation that means we have to find the value of x .

Solution : -

`\longmapsto \: 2(x + 2.4) = 6.4`

Step 1 : Removing parenthesis by multiplying 2 with x and 2.4 :

`\longmapsto \: 2x + 4.8 = 6.4`

Step 2 : Subtracting 4.8 on both sides :

`\longmapsto \: 2x + \cancel{4.8} - \cancel{4.8 }= 6.4 - 4.8`

On further calculations :

`\longmapsto \:2x = 1.6`

Step 3 : Dividing by 2 on both sides :

`\longmapsto \: \frac{ \cancel{2}x}{ \cancel{2 }} = (1.6)/(2)`

Calculating further :

Here , we have removed decimal from 1.6 . So it'll become 16 and 10 it'll divided by 10

`\longmapsto \:x = \cancel { (16)/(2)} * (1)/(10)`

Step 4 : Cancelling 16 by 2 :

`\longmapsto \:x = (8)/(10)`

`\longmapsto \: \green{\underline{ \green {\boxed{x = 0.8}}}}`

• Therefore value of x is 0.8 .

Verifying : -

We are verifying our answer by substituting value of x in given equation. So ,

• 2 ( x + 2.4 ) = 6.4

• 2 ( 0.8 + 2.4 ) = 6.4

• 2 ( 3.2 ) = 6.4

• 6.4 = 6.4

• L.H.S = R.H.S

• Hence, Verified .

Therefore, our value for x is correct .

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