Question

How do you solve `\frac { 6x + 3} { 7} = - 3`?

Answer 1

See a solution process below:

Explanation:

First, multiply each side of the equation by `color(red)(7)` to eliminate the fraction while keeping the equation balanced:

`color(red)(7) xx (6x + 3)/7 = color(red)(7) xx -3`

`cancel(color(red)(7)) xx (6x + 3)/color(red)(cancel(color(black)(7))) = -21`

`6x + 3 = -21`

Next, subtract `color(red)(3)` from each side of the equation to isolate the `x` term while keeping the equation balanced:

`6x + 3 - color(red)(3) = -21 - color(red)(3)`

`6x + 0 = -24`

`6x = -24`

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

`(6x)/color(red)(6) = -24/color(red)(6)`

`(color(red)(cancel(color(black)(6)))x)/cancel(color(red)(6)) = -4`

`x = -4`