SOLUTION: We are having problems solving this equation, and would like to know where we are going wrong. 10 + 3(x+2)= 31 Is it 13-2x=31? thank you.

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Question 104451This question is from textbook Pre-Algebra
: We are having problems solving this equation, and would like to know where we are going wrong.
10 + 3(x+2)= 31
Is it 13-2x=31?
thank you. This question is from textbook Pre-Algebra

Found 3 solutions by Allstar, Earlsdon, dfrazzetto:
Answer by Allstar(7) About Me  (Show Source):
You can put this solution on YOUR website!
x+2/3+10=31
x being 61
multiplication and division come first
before adding or subtracting

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:
10+3(x+2) = 31 First, subtract 10 from both sides.
3(x+2) = 21 Now divide both sides by 3.
x+2 = 7 Finally, subtract 2 from both sides.
x = 5
Check: Substitute x = 5.
10+3(5+2) = 31
10+3(7) = 31
10+21 = 31
31 = 31

Answer by dfrazzetto(283) About Me  (Show Source):
You can put this solution on YOUR website!
Allstar is completely wrong.
Expanding the equation, distribute(multiply) the 3:
10 + 3(x+2) = 31
10 + 3x + 6 = 31
3x + 16 = 31 (subtract 16 from both sides)
3x = 15
x = 5
Plug back into original equation to check:
10 + 3(5+2) = 31
10 + 3(7) = 31
10 + 21 = 31 √ Correct