The difference between three times a number and five is equal to four times the number increased by two

Question

asked Sep 23, 2023 149k views

1 Answer

Nicomp · Answer 1 · 2023-09-29T03:44:13+0000

Let the number be

Three times a number will be

$\begin{gathered} =3* x \\ =3x \end{gathered}$

The difference between three times a number and five (5) will be

Four times the number is

$\begin{gathered} =4* x \\ =4x \end{gathered}$

Four times the number increased by two will be

By equating all the equations together, we will have

Step 1: Collect similar terms by subtracting 4x from both sides

$\begin{gathered} 3x-5=4x+2 \\ 3x-4x-5=4x-4x+2 \\ -x-5=2 \end{gathered}$

Step 2: Collect similar terms by adding 5 to both sides

$\begin{gathered} -x-5=2 \\ -x-5+5=2+5 \\ -x=7 \end{gathered}$

Step 3: Divide both sides by -1

$\begin{gathered} -x=7 \\ -(x)/(-1)=(7)/(-1) \\ x=-7 \end{gathered}$

Hence,

The number = -7