SOLUTION: 4(3+x)+10=-11(x-6)+1 tryingto find the value of x. can't getthe hang of these negative numbers. seem to be missing a simple step. I know the answer is 3 but don.t know the step

Question 156771This question is from textbook
: 4(3+x)+10=-11(x-6)+1 tryingto find the value of x. can't getthe hang of these negative numbers. seem to be missing a simple step. I know the answer is 3 but don.t know the steps to get there This question is from textbook

Found 2 solutions by Earlsdon, mizjoice:
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Solve for x:
Apply the distributive property to both sides.
Did you remember to change the sign on the right side?
Add 11x to both sides.
Subtract 22 from both sides.
Divide both sides by 15.

Answer by mizjoice(22) (Show Source): You can put this solution on YOUR website!
Multiplication - a negative times a negative is a positive. a negative times a positive is a negative (in most instances!)
4(3+x)+10=-11(x-6)+1,
12+ 4x +10=-11x +66+1 (combine like terms)
4x +22= -11x+67 (move the x to the left of the equal sign)
4x +11x +22=11x-11x+ 67 (combine like terms)
15x +22 = 67
15x +22 -22= 67 -22 (simplify)
15x= 45 (divide to get x)
15x/15 = 45/15
x = 3
to check, substitute 3 for x
4(3+3) +10=-11(3-6) +1
4(6) +10=-11(-3)+1
24+10=33+1
34=34
* remember than when you do a true equation (with an equal sign), what ever you do to one side you need to do to the other side.
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