Question

How do you solve `6x + 1= - 109- 5x`?

Answer 1

See a solution process below:

Explanation:

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

`6x + 1 - color(red)(1) + color(blue)(5x) = -109 - 5x - color(red)(1) + color(blue)(5x)`

`6x + color(blue)(5x) + 1 - color(red)(1) = -109 - color(red)(1) - 5x + color(blue)(5x)`

`(6 + color(blue)(5))x + 0 = -110 - 0`

`11x = -110`

Step 2) Divide each side of the equation by `color(red)(11)` to solve for `x` while keeping the equation balanced:

`(11x)/color(red)(11) = -110/color(red)(11)`

`(color(red)(cancel(color(black)(11)))x)/cancel(color(red)(11)) = -10`

`x = -10`