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Question 159664This question is from textbook Introductory Algebra
: Please help me figure this out step by step. Spent over 2 hours on this one. I know it's something easy I am missing.. What is "x"?
(-4)[x-2(2x-3)]+1 = 2x-3
Thank you so very much!
This question is from textbook Introductory Algebra
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! (-4)[x-2(2x-3)]+1 = 2x-3
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Working inside the [], distribute the 2 to each term inside the ():
(-4)[x-4x+6]+1 = 2x-3
Combining like-terms inside []:
(-4)[-3x+6]+1 = 2x-3
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Next, distribute the -4 to terms inside the []:
12x-24+1 = 2x-3
12x-23 = 2x-3
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Subtracting 2x from both sides:
10x-23 = -3
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Adding 23 to both sides:
10x = 20
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Finally, dividing both sides by 10:
x = 2
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