Question

How do you solve `-x/3-5=2x`?

Answer 1

`x=-15/7`

Explanation:

1. Multiply both sides of the equation by 3 to get rid of the denominator in -x/3.

`-x/3-5=2x`

`3(-x/3-5)=3(2x)`

`-x-15=6x`

2. Bring 15 to the other side of the equation.

`-x-15` `color(red)(+15)=6x` `color(red)(+15)`

3. Simplify.

`-x=6x+15`

4. Bring 6x to the other side of the equation.

`-x` `color(red)(-6x)=6x` `color(red)(-6x)+15`

5. Simplify.

`-7x=15`

6. Divide -7 from both sides.

`-7xcolor(red)(-:-7)=15color(red)(-:-7)`

7. Simplify.

`color(green)(x=-15/7)`