Answer :

We have to find the number that satisfies: "Four times a number plus two is equal to 3 times the number".

Four times a number is 4x.

Then, we can write and solve the expression as:

[tex]\begin{gathered} 4x+2=3x \\ 4x-3x=-2 \\ x=-2 \end{gathered}[/tex]

The number is -2.