Final answer:
To solve the equation 8x-2(x+1)=2(3x-1), distribute the numbers and combine like terms. The solution is all real numbers.
Step-by-step explanation:
To solve the equation 8x-2(x+1)=2(3x-1), we can start by distributing the 2 on the left side and the 2 on the right side:
8x-2x-2=6x-2
Next, we can combine like terms:
6x-2=6x-2
Since the variables are the same on both sides of the equation, the solution is all real numbers. In other words, any value for x will make the equation true.