SOLUTION: How would you solve the following equation? 3x-5(3x-7) = 2(x+9)+45 Thank you for your help

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Question 80431: How would you solve the following equation?
3x-5(3x-7) = 2(x+9)+45
Thank you for your help
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
3x-5(3x-7) = 2(x+9)+45 [use the order of operations to simplify (PEMDAS)]
3x-15x+35=2x+18+45 [use the distributive property to multiply]
-12x+35=2x+63 [combine like-terms]
-12x+35-35=2x+63-35 [isolate the x=term]
-12x=2x+28
-12x-2x=2x-2x+28
-14x=28
-14x/-14=28/-14
x=-2
.
check by plugging (x=-2) back into the original equation and solve