Question

How do you solve `-5x + 7= 2x - 63`?

Answer 1

See a solution process below:

Explanation:

Step 1) Add `color(red)(5x)` and `color(blue)(63)` to each side of the equation to isolate the `x` term while keeping the equation balanced:

`color(red)(5x) - 5x + 7 + color(blue)(63) = color(red)(5x) + 2x - 63 + color(blue)(63)`

`0 + 70 = (color(red)(5) + 2)x - 0`

`70 = 7x`

Step 2) Divide each side of the equation by `color(red)(7)` to solve for `x` while keeping the equation balanced:

`70/color(red)(7) = (7x)/color(red)(7)`

`10 = (color(red)(cancel(color(black)(7)))x)/cancel(color(red)(7))`

`10 = x`

`x = 10`