SOLUTION: How would I solve the following equation?: 4(2x - 3) - x + 14 = 23

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Question 75615: How would I solve the following equation?:
4(2x - 3) - x + 14 = 23
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
4%282x+-+3%29+-+x+%2B+14+=+23 Start with the given equation
4%2A2x+-+4%2A3+-+x+%2B+14+=+23 Distribute the 4
8x+-+12+-+x+%2B+14+=+23 Multiply
7x+%2B+2=+23 Combine like terms
7x+=+21 Subtract 2 from both sides
x+=+3 Divide both sides by 7
So the solution is x=3


Check:
4%282x+-+3%29+-+x+%2B+14+=+23+
4%282%283%29+-+3%29+-+3+%2B+14+=+23+ Plug in x=3
4%286+-+3%29+%2B+11+=+23+
4%283%29+%2B+11+=+23+
12+%2B+11+=+23+
23+=+23+ works