SOLUTION: Solve for the variable in each equation 1. 2x+5=-7 2. 1/6n+2=9 I need help on these. Im so lost in math class. Please help me asap!! Due: Friday. Thanks a bunch

Algebra ->  Linear-equations -> SOLUTION: Solve for the variable in each equation 1. 2x+5=-7 2. 1/6n+2=9 I need help on these. Im so lost in math class. Please help me asap!! Due: Friday. Thanks a bunch      Log On


   



Question 915700: Solve for the variable in each equation
1. 2x+5=-7
2. 1/6n+2=9
I need help on these. Im so lost in math class. Please help me asap!! Due: Friday. Thanks a bunch

Found 2 solutions by jim_thompson5910, tutoringisfun:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
# 1

2x%2B5=-7 Start with the given equation.


2x=-7-5 Subtract 5 from both sides.


2x=-12 Combine like terms on the right side.


x=%28-12%29%2F%282%29 Divide both sides by 2 to isolate x.


x=-6 Reduce.


So the solution is x=-6


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# 2

%281%2F6%29n%2B2=9 Start with the given equation.


6%28%281%2Fcross%286%29%29n%2B2%29=6%289%29 Multiply both sides by the LCD 6 to clear any fractions.


n%2B12=54 Distribute and multiply.


n=54-12 Subtract 12 from both sides.


n=42 Combine like terms on the right side.


So the solution is n=42



Let me know if you need more help or if you need me to explain a step in more detail.
Feel free to email me at jim_thompson5910@hotmail.com
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Thanks,

Jim

Answer by tutoringisfun(17) About Me  (Show Source):
You can put this solution on YOUR website!
Good evening student.
1. 2x+5=7
subtract 5 from both sides and simplify
2x-5+5=7-5
the 5's on the left cancel out leaving:
2x=2
divide both sides by 2
2x/2=2/2
the 2's on the left cancel out leaving:
x=1
2. 1/6n+2=9
get rid of the fraction by multiplying both sides by 6
6(1/6n+2)=9x6
the 6's on the left cancel, leaving:
n+12=54
subtract 12 from each side and simplify:
n-12+12=54-12
the 12's on the left cancel leaving:
n=42.

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