Question

x+2/3-x-3/4=5-x-1/2​

Answer 1

$\mathtt{\Large\frac{x+2}{3} - \frac{x-3}{4} \normalsize = 5- \Large\frac{x-1}{2}}$

$\implies \mathtt{\Large\frac{4(x+2)-3(x-3)}{12} \normalsize = \Large \frac{10-(x-1)}{2}}$

$\implies \mathtt{\Large\frac{4x+8-3x+9}{12} \normalsize = \Large \frac{10-x+1}{2}}$

$\implies \mathtt{\Large\frac{x+17}{12} = \frac{11-x}{2}}$

$\implies \mathtt{2(x+17) = 12(11-x)}$

$\implies \mathtt{2x+34 = 132-12x}$

$\implies \mathtt{2x+12x = 132-34}$

$\implies \mathtt{14x = 98}$

$\implies \mathtt{x = \Large\frac{98}{14}}$

$\implies \mathtt{x = 7}$