Answer
solution
Work Step by Step
Dividing the numerator by the denominator, the given number, $3\dfrac{1}{2},$ is equivalent to
\begin{array}{l}\require{cancel}
3.5
.\end{array}
Substituting $x=
3.5
$ in the given equation, $
12-3(x-2)=4x-(x+3)
,$ results to
\begin{array}{l}\require{cancel}
12-3(3.5-2)=4(3.5)-(3.5+3)
\\
12-3(1.5)=14-(6.5)
\\
12-4.5=14-6.5
\\
7.5=7.5
\text{ (TRUE)}
.\end{array}
Since the substitution above ended with a TRUE statement, then $
x=3\dfrac{1}{2}
$ is a solution.
