Answer
$x=1$
Work Step by Step
Using the properties of equality, the solution to the given equation, $
12-3(5x-1)=x-1
$, is
\begin{array}{l}\require{cancel}
12-3(5x)-3(-1)=x-1
\\\\
12-15x+3=x-1
\\\\
-15x-x=-1-12-3
\\\\
-16x=-16
\\\\
x=\dfrac{-16}{-16}
\\\\
x=1
.\end{array}