Question

How do you solve `2= \frac { 3} { 8} x + 5`?

Answer 1

See the entire solution process below:

Explanation:

Step 1) Subtract `color(red)(5)` from each side of the equation to isolate the `x` term while keeping the equation balanced:

`2 - color(red)(5) = 3/8x + 5 - color(red)(5)`

`-3 = 3/8x + 0`

`-3 = 3/8x`

Step 2) Multiply each side of the equation by `color(red)(8)/color(blue)(3)` to solve for `x` while keeping the equation balanced:

`color(red)(8)/color(blue)(3) xx -3 = color(red)(8)/color(blue)(3) xx 3/8x`

`color(red)(8)/cancel(color(blue)(3)) xx -color(blue)(cancel(color(black)(3))) = cancel(color(red)(8))/cancel(color(blue)(3)) xx color(blue)(cancel(color(black)(3)))/color(red)(cancel(color(black)(8)))x`

`-8 = x`

`x = -8`