Question

How do you solve for `x` in this equation `2x+4-10x = 20`?

Answer 1

See a solution process below:

Explanation:

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

`2x + 4 - 10x = 20`

`2x - 10x + 4 = 20`

`(2 - 10)x + 4 = 20`

`-8x + 4 = 20`

Next, subtract `color(red)(4)` from each side of the equation to isolate the `x` term:

`-8x + 4 - color(red)(4) = 20 - color(red)(4)`

`-8x + 0 = 16`

`-8x = 16`

Now, divide each side of the equation by `color(red)(-8)` to solve for `x` while keeping the equation balanced:

`(-8x)/color(red)(-8) = 16/color(red)(-8)`

`(color(red)(cancel(color(black)(-8)))x)/cancel(color(red)(-8)) = -2`

`x = -2`