To solve for x in the given equation `(1/5)x + (1/2) = 3((5/6)x + 4)`, we need to follow step-by-step instructions:
1. Firstly, distribute the 3 to both terms of the parenthesis which gives us `(1/5)x + 1/2 = 5/2*x + 12`.
2. The next step is to collect the x terms on one side of the equation and keep the constants on the other side. This gives us `(1/5 - 5/2)x = 12 - 1/2`.
3. Simplify to get `(1/5 - 2.5)x = 11.5`.
4. Now to solve for x, just divide both sides of the equation by 1/5 - 2.5, this will give x = 11.5 / (1/5 - 2.5).
The final result of x in this equation is x = -5.
Remember to always check your solution. You can do this by substituting x = -5 into the original equation to validate the equality on both sides.