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Explanation:
The fractions we want to eliminate are 2/3 and 5/6. The lowest common denominator (LCD) is 6.
If we multiply both sides by the LCD, then we'll cancel out the fractions. This is because
6*(2/3) = (6/1)*(2/3) = (6*2)/(1*3) = 12/3 = 4
6*(5/6) = (6/1)*(5/6) = (6*5)/(1*6) = 30/6 = 5
So in short, the (2/3)x becomes 4x and the 5/6 becomes 5 after we multiply both sides by the LCD 6.
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This is what the steps could look like
[tex]\frac{2}{3}x + 7 = \frac{5}{6}\\\\6*\left(\frac{2}{3}x + 7\right) = 6*\frac{5}{6}\\\\6*\left(\frac{2}{3}x\right) + 6*\left(7\right) = 6*\frac{5}{6}\\\\4x + 42 = 5\\\\[/tex]
