The solution to the equation is x = 6.
Explanation:
To find the value of x in the equation (3x + 2)/4 = (x + 4)/2, you can start by clearing the denominators. You can do this by multiplying both sides of the equation by the least common multiple (LCM) of 4 and 2, which is 4.
(4) * (3x + 2)/4 = (4) * (x + 4)/2
This simplifies the equation to:
3x + 2 = 2(x + 4)
Now, distribute the 2 on the right side of the equation:
3x + 2 = 2x + 8
Next, subtract 2x from both sides of the equation:
3x - 2x + 2 = 2x - 2x + 8
This simplifies to:
x + 2 = 8
Now, subtract 2 from both sides:
x + 2 - 2 = 8 - 2
This gives you:
x = 6