You can put this solution on YOUR website! -4 (x - 9 ) = -8
Divide both sides by -4 to get:
x-9 = 2
Add 9 to both sides to get:
x = 11
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Cheers,
Stan H.
You can put this solution on YOUR website! Given the equation:
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The first thing to do is the distributed multiplication on the left side of the equal sign.
Do this by multiplying the -4 times each of the two terms in the parentheses. In other words,
multiply -4 times x to get -4x and then multiply -4 times -9 to get +36.
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Put these values on the left side of the equation and you have:
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The next goal is to get the term containing the x to be by itself on one side of the equation
and the numbers by themselves on the other side of the equation. We can do this by getting
rid of the +36 on the left side by subtracting 36 from both sides of the equation.
When we do this subtraction we get:
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Notice on the left side the +36 and the -36 cancel each other out, so they both disappear.
On the right side the -8 and -36 combine to give -44. So the equation is reduced to:
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Next we can solve for x by dividing both sides of the equation by -4 as follows:
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On the left side the -4 in the denominator cancels with the -4 in the numerator to leave
just x. On the right side the -4 in the denominator goes into the -44 of the numerator
+11 times. So we are left with the solution:
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Check by returning to the original equation and substituting +11 for x. The original
equation was:
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When you put 11 into this equation in place of x the equation becomes:
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Inside the parentheses subtract 9 from 11 to get 2. This makes the equation:
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and when you multiply out the left side the equation becomes:
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This is true, so our solution of x = +11 is correct.
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Hope this helps you to understand how to solve this equation.
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