SOLUTION: I am having a problem solving this math equation. Could you help me and show me step by step how you get the answer? Here is the problem: 8x +3 { 2 -6 (2x -3)}

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Question 189080: I am having a problem solving this math equation. Could you help me and show me step by step how you get the answer? Here is the problem: 8x +3 { 2 -6 (2x -3)} Thank you Cynthia Bryant
Found 3 solutions by jim_thompson5910, nerdybill, stanbon:
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website!
8x +3 { 2 -6 (2x -3)} ... Start with the given expression.

8x +3 { 2 -6(2x) -6(-3)} ... Distribute

8x +3 { 2 -12x + 18} ... Multiply

8x +3 {-12x + 20} ... Combine like terms.

8x +3 {-12x} + 3{20} ... Distribute

8x -36x + 60 ... Multiply

-28x + 60 ... Combine like terms.

So
8x +3 { 2 -6 (2x -3)} = -28x + 60

Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website!
Since this expression has no equal sign, the only thing you can do is to reduce it. Do this with the "order of operations"
.
8x +3 { 2 -6 (2x -3)}
First, distribute the -6 to terms inside the parenthesis:
8x +3 { 2 - 12x + 18}
Next, distribute the 3 to terms inside the braces:
8x + { 6 - 36x + 54}
Next, remove braces:
8x + 6 - 36x + 54
Group terms:
(6+54) + (8x - 36x)
60 - 28x
You could leave the answer the way it is above, or you could factor as:
4(15 - 7x)

Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website!
Here is the problem: 8x +3 { 2 -6 (2x -3)}
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= 8x+3(2-12x+18)
= 8x + 3(20-12x)
= 8x + 60 - 36x
= 60 - 28x
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Cheers,
Stan H.