Question

solve (3x+2)/3 - (2x-3)/4 = x-1/2

Answer 1

Answer:

5/6

Step-by-step explanation:

3x + 2 /3 - 2x - 3 /4 =x - 1/2

12x + 8 - 6x - 9 /12 =2x - 1 /2

6x - 1 /6 = 2x - 1

6x - 1 = 12x - 6

6x - 5 = 0

x = 5/6

Answer 2

Answer:

$\frac{3x + 2}{3} - \frac{2x - 3}{4} = x - \frac{1}{2} \\ \frac{4(3x + 2) - 3(2x - 3)}{12} = \frac{2(x) - 1}{2} \\ \frac{12x + 8 - 6x + 9}{12} =\frac{2x - 1}{2} \\ \frac{6x + 17}{12} = \frac{2x - 1}{2} \\ 2(6x + 17) = 12(2x - 1) \\ 12x + 34 = 24x - 12 \\ 34 + 12 = 24x - 12x \\ 46 = 12x \\ \frac{_{23 \: \: } \cancel{ 46}}{_{6 \: \: } \cancel{12}} = x \\ \frac{23}{6} = x \\ \boxed{ \underline{ \underline{ \large \bf 3 \frac{5}{6} }} = \large x}$