Answer
\[x=12\]
Work Step by Step
Consider the equation
\[3\left( x+4 \right)=5x-12\]
Apply the distributive law
\[3x+12=5x-12\]
Subtract \[5x\]from both the sides
\[-2x+12=-12\]
Subtract 12 from both the sides
\[-2x=-12-12\]
This implies,
\[-2x=-24\]
Divide both the sides by \[-2\]
\[x=12\]
Now, to check it, put \[x=12\]in the equation
\[\begin{align}
& 3\left( x+4 \right)=5x-12 \\
& 3\left( 12+4 \right)=5\times 12-12 \\
& 3\left( 16 \right)=60-12 \\
& 48=48
\end{align}\]
which is true.
Hence, the solution of the given equation is\[x=12\].
