Answer:
x=1, and x is not extraneous
Explanation:
First you must solve for x. By using inverse operations, you must isolate x. When using inverse operations, you should do the addition and subtraction first, so you subtract 1 from both sides. This leaves you with 2x=2. 3 has become 2 because you subtracted 1 from it, and because you have to subtract 1 from both sides. Now you need to divide both sides by 2. This leaves you with x=1. To determine whether or not this is extraneous, we must plug x=1 back into the equation. This leaves us with 2(1)+1=3. By using the order of operations, we multiply first and then add. We first multiply 2 and 1, giving us 2. We have 2+1=3. We now add 2+1, giving us 3. Since 3=3, x is not extraneous.