Work Step by Step
We let the unknown number be $x$. Three times the unknown number is $3x$. Two less than three times the unknown number is $(3x-2)$. Also, four times the number is $4x$. The question states that two less than three times a certain number is one more than four times the number. This means that $4x+1$ equals $3x-2$. Therefore, we write the following equation and solve: $4x+1=3x-2 \\\\ x+1=-2 \\ x=-3$ Therefore, the unknown number is $-3$.