Answer:
- x = 3/4
- Therefore , option A is correct .
Step-by-step explanation:
In the question we're given with an equation i.e.,
- 2 ( 6 - 2x ) - 2x = 2 ( 5 + x ) - 4
And we are asked to find the value of x .
Solution :
[tex] \longmapsto \: 2 ( 6 - 2x ) - 2x = 2 ( 5 + x ) - 4 [/tex]
Step 1 : Solving parenthesis by multiplying it with 2 on both the sides :
[tex] \longmapsto \: 12 - \bold{4x} - \bold{2x} = \bold{10} + 2x - \bold{4}[/tex]
Step 2 : Adding like terms on left hand side and subtracting like terms on right hand side :
[tex] \longmapsto \: 12 - 6x = 2x + 6[/tex]
Step 3 : Transposing 12 to right hand side and 2x to left hand side :
[tex] \longmapsto \: -2x - 6x = 6 - 12[/tex]
On further calculations we get :
[tex] \longmapsto \: \cancel{ - }8x = \cancel{- }6[/tex]
Step 4 : Transposing 8 to right hand side :
[tex] \longmapsto \: x = \frac{\cancel{6}}{\cancel{8}} [/tex]
Step 5 : Cancelling 6/8 to their simplest form :
[tex] \longmapsto \: \pink{\boxed{x = \frac{3}{4} }}[/tex]
- Therefore , value of x is 3/4 and it will make the equation true .
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