SOLUTION: Having problem with this problem - thanks 2(5x-4)=5(2x+3)

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Question 102660: Having problem with this problem - thanks
2(5x-4)=5(2x+3)

Found 2 solutions by doukungfoo, jim_thompson5910:
Answer by doukungfoo(195) About Me  (Show Source):
You can put this solution on YOUR website!
solving for x
2(5x-4)=5(2x+3)
first distribute 2 across (5x-4)
This means multiply 2 times 5x and 2 times -4
10x - 8 = 5(2x+3)
now distribute 5 across (2x+3)
10x - 8 = 10x + 15
now move all terms with x to one side of the equation and all terms
without x to the opposite side of the equation
10x - 10x = 15 + 8
the 10x cancels out
0 = 23
and we get a false statement
so there is no solution for x
check to see if you copied the problem correctly
if you did then there is no solution
because you end up with an inequality

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2%285x-4%29=5%282x%2B3%29 Start with the given equation



%2B10x-8=%2B10x%2B15 Distribute


10x=10x%2B15%2B8Add 8 to both sides


10x-10x=15%2B8 Subtract 10x from both sides


0x=15%2B8 Combine like terms on the left side


0x=23 Combine like terms on the right side


0=23 Simplify

Since this equation is never true for any x value, this means there are no solutions.