#### Answer

The solution set of this equation is the set of real numbers

#### Work Step by Step

We are given that $6x-4=2+6\times(x-1)$
To solve for x:
Simplify the right side of the equation by applying the distributive property
$6x-4=2+6x-6$
Further simplify the right side of the equation by combining like terms
$6x-4=6x-4$
As you might notice, the left and right sides of the equation are identical. Thus, the solution set of this equation is the set of real numbers, as plugging in any real number value for x will still cause the left and right sides of the equation to be identical.