Question

How do you solve `3/10x-1/4=3`?

Answer 1

See a solution process below:

Explanation:

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

`3/10x - 1/4 + color(red)(1/4) = 3 + color(red)(1/4)`

`3/10x - 0 = (4/4 xx 3) + color(red)(1/4)`

`3/10x = 12/4 + color(red)(1/4)`

`3/10x = 13/4`

Step 2) Multiply each side of the equation by `color(red)(10)/color(blue)(3)` to solve for `x` while keeping the equation balanced:

`color(red)(10)/color(blue)(3) xx 3/10x = color(red)(10)/color(blue)(3) xx 13/4`

`cancel(color(red)(10))/cancel(color(blue)(3)) xx color(blue)(cancel(color(black)(3)))/color(red)(cancel(color(black)(10)))x = (cancel(color(red)(10))5)/color(blue)(3) xx 13/(color(red)(cancel(color(black)(4)))2)`

`x = 65/6`