Question

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

Answer 1

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

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:

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

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

$\dfrac{x - 1}{6} = 5$

Cross multiply:

$x - 1 = 30$

Add 1 to both sides:

$x = 31$

Answer: x = 31