Question

How do you solve `-4+ \frac { x } { 3} = - 6`?

Answer 1

See a solution process below:

Explanation:

This is a standard 2-Step problem:

Step 1) Isolate the variable: Add `color(red)(4)` to each side of the equation to isolate the `x` term while keeping the equation balanced:

`color(red)(4) - 4 + x/3 = color(red)(4) - 6`

`0 + x/3 = -2`

`x/3 = -2`

Step 2) Eliminate the coefficient of the variable: Multiply each side of the equation by `color(red)(3)` to solve for `x` while keeping the equation balanced:

`color(red)(3) xx x/3 = color(red)(3) xx -2`

`cancel(color(red)(3)) xx x/color(red)(cancel(color(black)(3))) = -6`

`x = -6`