To find the value of x, we start by simplifying the equation:
2 + 3x + 1 = 4x + 6.
First, combine the like terms on the left side:
2 + 1 = 3, so we have:
3 + 3x = 4x + 6.
Next, let’s isolate the variable x. Subtract 3x from both sides:
3 = 4x – 3x + 6,
which simplifies to:
3 = x + 6.
Now, subtract 6 from both sides to solve for x:
3 – 6 = x,
which gives us:
-3 = x.
So, the value of x in the solution set is -3.