Answer
The value of x is 13. Yes, $x=13$ satisfies the given equation.
Work Step by Step
Solve for x:
$\begin{align}
& -1+3\left( x-4 \right)=2x \\
& -1+3x-12=2x \\
& 3x-13=2x \\
& 3x-2x=13 \\
& x=13
\end{align}$
Now, putting $x=13$ in the equation, we check whether LHS and RHS come out to be the same or not.
$\begin{matrix}
-1+3\left( x-4 \right)=2x \\
-1+3\left( 13-4 \right)\overset{?}{\mathop{=}}\,2\left( 13 \right) \\
-1+3\left( 9 \right)\overset{?}{\mathop{=}}\,26 \\
-1+27\overset{?}{\mathop{=}}\,26 \\
26=26 \\
\end{matrix}$
Therefore, the value of x obtained is correct.
Thus, the value of x for the given equation is 13. The value of $x=13$ satisfies the given equation.
