Question

Solve for x x − 1 = 6 x − 9 It would be helpful for a more simple and easy method if possible

Answer 1

x = 8/5 or 1.6.

Explanation:

x - 1 = 6x - 9

The general idea is to get the x terms on one side and the numbers on the other:

First add 1 to both sides of the equation:

x - 1 + 1 = 6x - 9 + 1

We perform the same operation on both sides to maintain the balance of the equation.

x = 6x - 8

Now subtract 6x from both sides:

x - 6x = 6x - 6x - 8

-5x = -8

Now divide both sides by -5:

x = -8/-5

x = 8/5.

Answer 2

x = 8/5 or 1.6

Explanation:

The bold marks indicate the steps done.

x - 1 = 6x - 9

- 1 = 6x - x - 9

-1 = 5x - 9

-1 + 9 = 5x

8 = 5x

8/5 = x