Question

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

Answer 1

`x=-6`

Explanation:

To solve the given problem, you want to move all variables with `x` to one side of the equation and all other terms without `x` to the other.

In your case, move all terms with `x` to the right side and the ones without to the left.

Starting with,

`x-4=8+3x`

Subtract `x` from both sides,

`x` `color(red)(-x)-4=8+3x` `color(red)(-x)`

`-4=8+2x`

Subtract `8` from both sides,

`-4` `color(red)(-8)=8` `color(red)(-8)+2x`

`-12=2x`

Divide both sides by `2`,

`color(red)(color(black)(-12)/2)=color(red)(color(black)(2x)/2)`

`color(green)(|bar(ul(color(white)(a/a)x=-6color(white)(a/a)|)))`