We need to build two equations. We then need to make them equal to each other
Let’s have x as the number.
Ths sum of a number and 6 tripled.
We are first adding the number and 6: x+6
We need to triple it, meaning multiply by three:
3(x+6)
The result is five less than twice the number.
The equation we made equals the equation we are about to make.
We need to first multiply the number by two: 2x
Now subtract 5 since it’s five less: 2x-5
This is what our equation looks like:
2x-5=3(x+6)
Now we need to get x by itself.
Let’s first distribute.
2x-5=3x+18
Let’s add 5 to both sides.
2x=3x+23
Now, subtract 3x from both sides.
-1x=23
Divide.
23/-1=-23
If the number is -23, let’s check. We need to plug -23 in for x.
2(-23)-5=3(-23+6)
-46-5=3(-17)
-51= -51
So, the number is -23.
