solve the equation and state a reason for each step

Question

8x-1=2x+17

 

Answer 1

we rearrange the equation algebraically. first 2x on the right goes to the left where it becomes -2x

and -1 goes to the right where it becomes +1, so we get

8x-2x = 17+1 simplifying we get 6x = 18 so then dividing both sides of the equation by 6

we get x = 18/6 so x= 3 and that is the answer.

Answer 2

8x -1 =2x + 17

8x-2x = 17+1 (move the "x" to one side (you can either subtract 2x from both sides, or "move 2x from the right to left side. but remember when moving from one side to the other across the equal sign; you have to also switch from negative to positive sign or vise versa)

6x = 18

divide both sides by 6

x=18/6

x=3

 

 

Answer 3

Well, if solving for 'x' than the first step would be to isolate 'x' to one side. To do this you would subtract 2x from both sides and also add 1 to both sides. therefore 8x-1=2x-17 would become 6x=18 next, you would have to solve for 'x', so you would divide both sides by 6, therefore, 6x=18 would become x=3

Show the work:

8x - 1 = 2x + 17 (isolate 'x' to one side)

8x -2x=17+1

6x=18 (Solve for x: divide both sides by 6)

6x/6 = 18/6

x = 3 (Answer)