Final answer:
To solve the equation 12x+2=10x+6 for x, subtract 10x from both sides to get 2x+2=6, then subtract 2 to get 2x=4, and finally divide by 2 to find x=2.
Step-by-step explanation:
To solve the equation 12x+2=10x+6 for x, we can use simple algebraic steps. First, collect like terms by subtracting 10x from both sides of the equation to isolate the x on one side. This gives us 2x + 2 = 6. Next, we subtract 2 from both sides to get 2x = 4. Lastly, we divide both sides by 2 to find that x = 2. Therefore, the solution to the equation is x = 2.