Question

find the solution set. then indicate whether the equation is conditional, an identity, or a contradiction.
$6(x - 1)= - 3(2 - x)+ 3x$
select the correct choice below and fill in any answer boxes present in your choice.
\\(\bigcirc\\) a. the solution set is \\(\\{\\}\\).
\\(\bigcirc\\) b. the solution is the set of all real numbers.
\\(\bigcirc\\) c. the solution is the empty set.

Explanation:

Step1: Expand both sides

$6x - 6 = -6 + 3x + 3x$

Step2: Simplify right-hand side

$6x - 6 = 6x - 6$

Step3: Subtract $6x$ from both sides

$-6 = -6$

Answer:

B. The solution is the set of all real numbers.
The equation is an identity.