-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