Answer is -3/11
Step by step
You can cross multiply here.
5( x + 1) = -1(6x -2)
Distribute
5x + 5 = -6x +2
Add 6x to both sides to isolate variables
5x + 6x + 5 = -6x + 6x + 2
Combine
11x + 5 = 2
Now subtract 5 from both sides to combine like terms
11x + 5 - 5 = 2 - 5
11x = -3
Divide both sides by 11 to solve for x
X = -3/11