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put this solution on YOUR website! solve for x
9(5x - 3) + 5(2x + 4) = 2(3x + 3)
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Multiply the 9 by the 5x, getting 45x. So far we have:
45x
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9(5x - 3) + 5(2x + 4) = 2(3x + 3)
Multiply the 9 also by the -3. So far we have:
45x - 27
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9(5x - 3) + 5(2x + 4) = 2(3x + 3)
Multiply the +5 by the 2x. So far we have:
45x - 27 + 10x
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9(5x - 3) + 5(2x + 4) = 2(3x + 3)
Multiply the +5 also by the +4. So far we have:
45x - 27 + 10x + 20
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9(5x - 3) + 5(2x + 4) = 2(3x + 3)
Copy the equal sign:
So far we have:
45x - 27 + 10x + 20 =
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9(5x - 3) + 5(2x + 4) = 2(3x + 3)
Multiply the 2 by the 3x. So far we have:
45x - 27 + 10x + 20 = 6x
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9(5x - 3) + 5(2x + 4) = 2(3x + 3)
Multiply the 2 also by the +3. So far we have:
45x - 27 + 10x + 20 = 6x + 6
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45x - 27 + 10x + 20 = 6x + 6
Now combine the 45x and the +10x. So far we have
55x - 27 + 20 = 6x + 6
Now combine the -27 and the +20:
55x - 7 = 6x + 6
Now get rid of the -7 on the left by adding
its opposite +7 to both sides of the equation:
55x - 7 = 6x + 6
+ 7 + 7
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55x = 6x + 13
Close up the gap:
55x = 6x + 13
Now get rid of the 6x on the right by adding
its opposite -6x to both sides of the equation:
55x = 6x + 13
- 6x -6x
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49x = 13
Close up the gap
49x = 13
Get rid of the 49 coefficient by dividing both sides
by 49
49x 13
----- = ----
49 49
Cancel the 49's on the left
1
49x 13
----- = ----
49 49
1
13
x = ----
49
That's the answer: x = 13/49, thirteen forty-ninths.
Edwin
