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Question
Solve 8x+9=3(x−1)+7.
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Solution
The equation is 8x+9=3x−3+7=3x+4.
By transposing, we get 8x−3x=4−9 or 5x=−5.
We thus get x=−1.
We can verify this :
8x+9=8(−1)+9=−8+9=1 and
3(x−1)+7=3(−1−1)+7=3(−2)+7=−6+7=1.
Thus 8x+9=3(x−1)+7 is true for x=−1.
This checks that x=−1 is a solution.
By transposing, we get 8x−3x=4−9 or 5x=−5.
We thus get x=−1.
We can verify this :
8x+9=8(−1)+9=−8+9=1 and
3(x−1)+7=3(−1−1)+7=3(−2)+7=−6+7=1.
Thus 8x+9=3(x−1)+7 is true for x=−1.
This checks that x=−1 is a solution.
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