SOLUTION: I need help in solving this equation 3(2w+1)-2(w-2)=5 My solution is incorrect 6w+3 - 2w-4=5 4w-1 =5

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Question 93219: I need help in solving this equation
3(2w+1)-2(w-2)=5
My solution is incorrect
6w+3 - 2w-4=5
4w-1 =5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3%282w%2B1%29-2%28w-2%29=5+

6w%2B3-2w%2B4=5+ Distribute (note when you distribute -2 to w-2, you get -2w%2B4 since -2%28w-2%29=-2%2Aw--2%2A2=-2w%2B4


4w%2B3%2B4=5 Combine the variable terms 6w and -2w on the left side to get 4w



4w%2B7=5 Combine the constant terms 3 and 4 on the left side to get 7



4w=5-7 Subtract 7 from both sides




4+w=-2 Combine like terms -7 and 5 on the right side to get -2





w=%28-2%29%2F%284%29 Now divide both sides by 4 to isolate and solve for w


w=+-1+%2F+2 Reduce



So the approximate answer is

w=-0.5