3x+7/2-4x+11/3=5please solve quickly – InterviewSolution

1.

3x+7/2-4x+11/3=5please solve quickly

Answer»

$\dfrac{3x+ 7}{2} - \dfrac{4x + 11}{3} = 5$

Make EQUIVALENT FRACTIONS:

$\dfrac{3(3x+ 7)}{3(2)} - \dfrac{2(4x + 11)}{2(3)} = 5$

$\dfrac{9x+21}{6} - \dfrac{8x + 22}6} = 5$

Make Single Fraction:

$\dfrac{(9x + 21) - (8x + 22)}{6} = 5$

$\dfrac{9x + 21 - 8x - 22}{6} = 5$

$\dfrac{x - <klux>1</klux>}{6} = 5$

Cross multiply:

$x - 1 = 30$

ADD 1 to both sides:

$x = 31$

ANSWER: x = 31

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