To find the value of x in the equation 10x + 2 = 5x + 8, we will start by rearranging the terms to isolate x.
First, we can subtract 5x from both sides:
10x - 5x + 2 = 8
This simplifies to:
5x + 2 = 8
Next, we can subtract 2 from both sides:
5x = 8 - 2
This gives us:
5x = 6
Finally, to find x, we divide both sides by 5:
x = 6 / 5
So, the value of x is:
x = 1.2
This means that when you solve the equation, you find that x is equal to 1.2.