[tex]10-\frac{3x-1}{2} =\frac{6x+3}{11}[/tex]
[tex]10 = \frac{6x+3}{11} + \frac{3x-1}{2}[/tex]
[tex]10 = (\frac{6x+3}{11} \times \frac{2}{2} ) + (\frac{3x-1}{2} \times \frac{11}{11} )[/tex]
[tex]10 = ( \frac{2(6x + 3)}{22} ) + ( \frac{11(3x - 1)}{22} )[/tex]
[tex]10 = \frac{12x + 6}{22} + \frac{33x - 11}{22} [/tex]
[tex]10 = \frac{12x + 6 + 33x - 11}{22} [/tex]
[tex]10 = \frac{(12 x + 33x) + (6 - 11)}{22} [/tex]
[tex]10 = \frac{45x - 5}{22} [/tex]
[tex]10 \times 22 = 45x - 5[/tex]
[tex]220 = 45x - 5[/tex]
[tex]220 + 5 = 45x[/tex]
[tex]225 = 45x[/tex]
[tex] \frac{225}{45} = x[/tex]
[tex] \frac{45}{9} = x[/tex]
[tex]5 = x[/tex]