To solve this equation, we first simplify the expression inside the parentheses:
3 1/2 = 7/2
(7/2 + (2/5 2/5)) x + 3/18 = 5/18
(7/2 + 4/25) * x + 3/18 = 5/18
(35/10 + 4/25) * x + 3/18 = 5/18
(875/250 + 40/250) * x + 3/18 = 5/18
(915/250) * x + 3/18 = 5/18
3.66 * x + 3/18 = 5/18
Now, we can solve for x:
3.66x + 0.1667 = 0.2778
3.66x = 0.1111
x = 0.1111 / 3.66
x = 0.03037
Therefore, the solution to the equation is x = 0.03037.
To solve this equation, we first simplify the expression inside the parentheses:
3 1/2 = 7/2
(7/2 + (2/5 2/5)) x + 3/18 = 5/18
(7/2 + 4/25) * x + 3/18 = 5/18
(35/10 + 4/25) * x + 3/18 = 5/18
(875/250 + 40/250) * x + 3/18 = 5/18
(915/250) * x + 3/18 = 5/18
3.66 * x + 3/18 = 5/18
Now, we can solve for x:
3.66x + 0.1667 = 0.2778
3.66x = 0.1111
x = 0.1111 / 3.66
x = 0.03037
Therefore, the solution to the equation is x = 0.03037.