Answer:
x= -3
Step-by-step explanation:
We want to solve for x in the following equation. We must isolate x on one side of the equation.
[tex]-5(x+1)=10[/tex]
-5 is being multiplied by (x+1). The inverse of multiplication is division. Divide both sides of the equation by -5.
[tex]-5(x+1)/-5=10/-5[/tex]
[tex](x+1)=10/-5[/tex]
[tex](x+1)=-2[/tex]
1 is being added to x. The inverse of addition is subtraction. Subtract 1 from both sides of the equation.
[tex]x+1-1= -2-1[/tex]
[tex]x=-2-1[/tex]
[tex]x=-3[/tex]
Let's check our solution. Plug -3 in for x and solve.
[tex]-5(x+1)=10[/tex]
[tex]-5(-3+1)=10[/tex]
[tex]-5(-2)=10[/tex]
[tex]10=10[/tex]
This checks out, so we know our solution is correct.
The solution to -5(x+1)=10 is x=-3
