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

Algebra ->  Equations -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
4%283%2Bx%29%2B10+=+-11%28x-6%29%2B1 Apply the distributive property to both sides.
%2812%2B4x%29%2B10+=+%28-11x%2B66%29%2B1 Did you remember to change the sign on the right side?
22%2B4x+=+-11x%2B67 Add 11x to both sides.
22%2B15x+=+67 Subtract 22 from both sides.
15x+=+45 Divide both sides by 15.
highlight%28x+=+3%29

Answer by mizjoice(22) About Me  (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.