Answer:
Step-by-step 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 : -
[tex] \longmapsto \: 2(x + 2.4) = 6.4[/tex]
Step 1 : Removing parenthesis by multiplying 2 with x and 2.4 :
[tex] \longmapsto \: 2x + 4.8 = 6.4[/tex]
Step 2 : Subtracting 4.8 on both sides :
[tex] \longmapsto \: 2x + \cancel{4.8} - \cancel{4.8 }= 6.4 - 4.8[/tex]
On further calculations :
[tex] \longmapsto \:2x = 1.6[/tex]
Step 3 : Dividing by 2 on both sides :
[tex] \longmapsto \: \frac{ \cancel{2}x}{ \cancel{2 }} = \frac{1.6}{2} [/tex]
Calculating further :
Here , we have removed decimal from 1.6 . So it'll become 16 and 10 it'll divided by 10
[tex] \longmapsto \:x = \cancel { \frac{16}{2}} \times \frac{1}{10} [/tex]
Step 4 : Cancelling 16 by 2 :
[tex] \longmapsto \:x = \frac{8}{10} [/tex]
[tex] \longmapsto \: \green{\underline{ \green {\boxed{x = 0.8}}}}[/tex]
- Therefore value of x is 0.8 .
Verifying : -
We are verifying our answer by substituting value of x in given equation. So ,
Therefore, our value for x is correct .
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