Question

Three added to 8 times a number is the same as 3 times the value of 2 times the number minus 1. what is the number?

Answer 1

Answer: The required number is -3.

Step-by-step explanation: Given that three added to 8 times a number is the same as 3 times the value of 2 times the number minus 1.

We are to find the number.

Let x represents the given number.

Then, according to the given information, we have

`8x+3=3(2x-1)\\\\\Rightarrow 8x+3=6x-3\\\\\Rightarrow 8x-6x=-3-3\\\\\Rightarrow 2x=-6\\\\\Rightarrow x=-(6)/(2)\\\\\Rightarrow x=-3.`

Thus, the required number is -3.

Answer 2

Let the number be y;
3+8y=3(2y-1)
8y+3=6y-3
Putting like terms together;
8y-6y=-3-3
2y=-6
y=-3
The number is -3