Answer:
x= -3
Explanation:
We want to solve for x in the following equation. We must isolate x on one side of the equation.

-5 is being multiplied by (x+1). The inverse of multiplication is division. Divide both sides of the equation by -5.



1 is being added to x. The inverse of addition is subtraction. Subtract 1 from both sides of the equation.



Let's check our solution. Plug -3 in for x and solve.




This checks out, so we know our solution is correct.
The solution to -5(x+1)=10 is x=-3