Question

How do you solve `\frac { 11x - 12} { 13} = 14`?

Answer 1

See a solution process below:

Explanation:

Step 1) Multiply each side of the equation by `color(red)(13)` to eliminate the fraction while keeping the equation balanced:

`color(red)(13) xx (11x - 12)/13 = color(red)(13) xx 14`

`cancel(color(red)(13)) xx (11x - 12)/color(red)(cancel(color(black)(13))) = 182`

`11x - 12 = 182`

Step 2) Add `color(red)(12)` to each side of the equation to isolate the `x` term while keeping the equation balanced:

`11x - 12 + color(red)(12) = 182 + color(red)(12)`

`11x - 0 = 194`

`11x = 194`

Step 3) Divide each side of the equation by `color(red)(11)` to solve for `x` while keeping the equation balanced:

`(11x)/color(red)(11) = 194/color(red)(11)`

`(color(red)(cancel(color(black)(11)))x)/cancel(color(red)(11)) = 194/11`

`x = 194/11`