Question

Solve for x: 3-x = 3(6x-9). Describe the process used to solve the equation and show each step.

Answer 1

`x=1.578`

Explanation:

Given equation is
`3-x = 3(6x-9)`

We need to find the value of
`x`

`3-x = 3(6x-9)`

Distribute
`3` in the right-hand side

`3-x=18x-27`

Add both sides
`x`

`3-x+x=18x+x-27\\3=19x-27`

Now, add both sides
`27`

`3+27=19x-27+27\\30=19x`

Divide both sides by
`19`

`(30)/(19)=(19x)/(19)\\x=1.578`

So,
`x=1.578`