Answer
$x=\dfrac{5}{2}$
Work Step by Step
Using the properties of equality, the solution to the given equation, $
19-3(2x-1)=7
$, is
\begin{array}{l}
19-6x+3=7
\\\\
-6x=7-19-3
\\\\
-6x=-15
\\\\
x=\dfrac{-15}{-6}
\\\\
x=\dfrac{5}{2}
.\end{array}
CHECKING:
\begin{array}{l}
19-3(2\cdot\dfrac{5}{2}-1)=7
\\\\
19-3(5-1)=7
\\\\
19-3(4)=7
\\\\
19-12=7
\\\\
7=7
\text{ (TRUE)}
.\end{array}
Hence, the solution is $
x=\dfrac{5}{2}
$.
