Final answer:
To solve the equation 3/4x + 5 = 11, subtract 5 from both sides to get 3/4x = 6, then multiply both sides by the reciprocal of 3/4, which is 4/3, to find that x = 8.
Step-by-step explanation:
To solve the equation 3/4x + 5 = 11, first, we should isolate the variable x on one side. We can do this by subtracting 5 from both sides of the equation, which gives us:
3/4x = 11 - 5
3/4x = 6
Next, we need to get x by itself by multiplying both sides of the equation by the reciprocal of 3/4, which is 4/3. This gives us:
x = 6 × (4/3)
x = 8
The solution to the equation is x = 8.