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Question 88771: 4(2-x)=3(x-3)
Answer by bucky(2189)   (Show Source):
You can put this solution on YOUR website! Given:
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4(2-x)=3(x-3)
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On the left side multiply 4 times each of the terms in the parentheses. On the right side
multiply 3 by each of the quantities in the parentheses.
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After these multiplications the equation is:
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8 - 4x = 3x - 9
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Next try to collect all the x terms on one side of the equation and the numbers on the other
side. Begin by getting rid of the 3x on the right side by subtracting 3x from the right side.
But if you subtract 3x from the right side you must also subtract 3x from the left side.
The result of this subtraction results in:
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8 - 4x - 3x = -9
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Next get rid of the 8 on the left side by subtracting 8 from both side. This results in
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-4x - 3x = -9 - 8
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Combine the terms on both sides to get:
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-7x = -17
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Divide both sides by -7 to get:
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x = -17/-7 = 17/7
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Check by substituting this value for x in the original equation:
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4(2-x)=3(x-3)
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4(2 - 17/7) = 3(17/7 - 3)
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8 - 68/7 = 51/7 - 9
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Get rid of the denominator by multiplying all terms on both sides by 7:
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56 - 68 = 51 - 63
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-12 = -12
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Since the equation balances, we know that x = 17/7 is a good answer.
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Hope this helps you with your problem.
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