SOLUTION: Please help me solve this 6-5(3x-3)=-54 I am just brain dead this morning and am not sure about this. I am coming up with no solution but would appreciate a second opinion. Thanks

Question 119906: Please help me solve this 6-5(3x-3)=-54 I am just brain dead this morning and am not sure about this. I am coming up with no solution but would appreciate a second opinion. Thanks so much for your help.
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given:
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First do the distributed multiplication of -5 times each of the terms inside the parentheses.
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When you multiply -5 times 3x you get -15x. And when you multiply -5 times -3 you get +15.
Substituting these multiplications into the given problem converts it to:
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On the left side combine the constants +6 and +15 to get +21 which reduces the equation to:
.

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Get rid of the +21 on the left side by adding -21 to both sides. (This is the same as
subtracting 21 from both sides). When you do this addition, on the left side the +21 and -21
combine to cancel out. On the left side the -54 and -21 combine to -75. So the resulting
equation is:
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You can get rid of the minus signs by multiplying both sides of the equation by minus 1 to get:
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Finally, solve for x by dividing both sides of this equation by 15 to get:
.

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Now that you know that x = 5, you can check the problem by starting with:
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Then substitute 5 for x to get:
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Multiply the 3 times 5 to get:
.

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Within the parentheses the 15 and -3 combine to 12:
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The -5 times 12 results in -60 and this reduces the equation to:
.

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The left side terms combine to -54 so the equation further reduces to:
.

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and this, of course, is true. So our answer checks, and x = 5 is the answer.
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Hope this helps cure you of your case of "morning brain dead." Press on ...
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