To solve the equation 3x + 4 = 5x – 2, we start by looking to isolate the variable x. We want to get all the terms involving x on one side of the equation and the constant terms on the other side.
First, let’s subtract 3x from both sides:
3x + 4 – 3x = 5x – 2 – 3x
This simplifies to:
4 = 2x – 2
Next, we need to eliminate the constant on the right side. We can do this by adding 2 to both sides:
4 + 2 = 2x – 2 + 2
Which simplifies to:
6 = 2x
Now we can solve for x by dividing both sides by 2:
x = 6 / 2
This gives us:
x = 3
In conclusion, the value of x in the solution set is 3.