-6x + 8 = 1 - 5x

To solve the equation -6x + 8 = 1 - 5x, we can start by simplifying both sides of the equation.

First, combine like terms on both sides:

-6x + 8 = 1 - 5x

To simplify the left side, rewrite -6x as -5x - x:

-5x - x + 8 = 1 - 5x

Next, combine like terms on each side separately:

-6x + 8 = 1 - 5x

-6x - 5x - x + 8 = 1

Combine like terms again:

-12x + 8 = 1

To isolate the variable, we want to get rid of the constant term, which in this case is 8. We can do this by subtracting 8 from both sides of the equation:

-12x + 8 - 8 = 1 - 8

Simplifying further:

-12x = -7

Finally, we can solve for x by dividing both sides of the equation by -12:

-12x / -12 = -7 / -12

Simplifying:

x = 7/12