Answer:
The solution of the given equation is x = -4
Step-by-step explanation:
<u><em>Explanation</em></u>:-
Given expression 4 x - (x +2) +6 = 2 (3 x+8)
<u><em>Step(i)</em></u>:-
4 x - (x +2) +6 = 2 (3 x+8)
4 x - x -2 + 6 = 6 x + 16
<u><em>step(ii)</em></u>:-
3 x + 4 = 6 x + 16
subtracting '4' on both sides , we get
3 x + 4 - 4 = 6 x + 16 - 4
3 x = 6 x + 12
<u><em>Step(iii)</em></u>:-
Subtracting '6x' on both sides , we get
3 x - 6 x = 6 x - 6 x + 12
- 3 x = 12
<u><em>Step(iv):</em></u>-
Dividing '-3' on both sides , we get
x = - 4
<u><em>Final answer:-</em></u>
The solution of the given equation is x = -4
<u><em>Verification</em></u>:-
4 x - (x +2) +6 = 2 (3 x+8)
put x = -4
4 ( -4) - ( - 4 +2) +6 = 2 (3(-4)+8)
-16+2+6 = 2 (-12+8)
-8 = -8
Both are equal