Question

How do you solve `\frac { 1} { 3} x + 2= 16`?

Answer 1

See a solution process below:

Explanation:

Step 1) Subtract `color(red)(2)` from each side of the equation to isolate the `x` term while keeping the equation balanced:

`1/3x + 2 - color(red)(2) = 16 - color(red)(2)`

`1/3x + 0 = 14`

`1/3x = 14`

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

`color(red)(3) xx 1/3x = color(red)(3) xx 14`

`cancel(color(red)(3)) xx 1/color(red)(cancel(color(black)(3)))x = 42`

`x = 42`