Question

How do you solve `4x + 3x - 6= 8`?

Answer 1

See a solution process below:

Explanation:

First, combine like terms on the left side of the equation:

`(4 + 3)x - 6 = 8`

`7x - 6 = 8`

Next, add `color(red)(6)` to each side of the equation to isolate the `x` term while keeping the equation balanced:

`7x - 6 + color(red)(6) = 8 + color(red)(6)`

`7x - 0 = 14`

`7x = 14`

Now, divide each side of the equation by `color(red)(7)` to solve for `x` while keeping the equation balanced:

`(7x)/color(red)(7) = 14/color(red)(7)`

`(color(red)(cancel(color(black)(7)))x)/cancel(color(red)(7)) = 2`

`x = 2`

Answer 2

`x` = `2`

Explanation:

First, you combine the like terms. In this case, that is the 3x and 4x.

`4x + 3x - 6 =`8#

`3x + 4x = 7x`

Then substitute it back into the equation:

`7x - 6 = 8`

Then you can subtract the `-6` from the left side of the equation.

`7x = 8 + 6`
`7x = 14`

And finally, simplify by dividing both sides by 7:
`x = 2`

Hope this helps!