Question

1) 4x+1/3=12x-3/7
2) 2x-5/12 = -x/4 - 5/3
3)x/5 + x/3 -1=x/2

Answer 1

1.)

$4x+ \frac{1}{3} =12x- \frac{3}{7} \\ 12x-4x= \frac{3}{7} + \frac{1}{3} \\ 12x-4x= \frac{9+7}{7*3} \\ 8x= \frac{16}{21} \\ x= \frac{ \frac{16}{21} }{8} \\ x= \frac{16}{21*8} \\ x= \frac{16}{168} \\ x= \frac{2}{21}$

2.)

$2x- \frac{5}{12} = \frac{-x}{4} - \frac{5}{3} \\ 2x+ \frac{x}{4} = \frac{5}{12} - \frac{5}{3} \\ \frac{8x+x}{4} = \frac{15-60}{12*3} \\ \frac{9x}{4} = \frac{-45}{36} \\ \frac{9x}{4} = \frac{-5}{4} \\ 9x=-5 \\ x= \frac{-5}{9}$

3.)

$\frac{x}{5} + \frac{x}{3} -1 = \frac{x}{2} \\ \frac{x}{5} + \frac{x}{3} - \frac{x}{2} =1 \\ \frac{6x+10x-15x}{5*3*2}=1 \\ \frac{x}{30}=1 \\ x=1*30 \\ x=30$