Question

How do you solve `2x + 10= - 20- 4x`?

Answer 1

`x=-5`

Explanation:

first, add `4x` to both sides of the equation.
`2x+4x+10=-20`
then simplify.
`6x+10=-20`
minus (-) 10 from both sides.
`6x=-20-10`
simplify.
`6x=-30`
then to get `x` on its own,, divide by 6
`x=-5`

Answer 2

See a solution process below:

Explanation:

First, subtract `color(red)(10)` and add `color(blue)(4x)` to each side of the equation to isolate the `x` term while keeping the equation balanced:

`2x + color(blue)(4x) + 10 - color(red)(10) = -20 - color(red)(10) - 4x + color(blue)(4x)`

`(2 + color(blue)(4))x + 0= -30 + 0`

`6x= -30`

Now, divide each side of the equation by `color(red)(6)` to solve for `x` while keeping the equation balanced:

`(6x)/color(red)(6) = -30/color(red)(6)`

`(color(red)(cancel(color(black)(6)))x)/cancel(color(red)(6)) = -5`

`x = -5`