Question

slove the following equations and check your result in each case
plz answer me and explain ​

Answer 1

GIVEN :-

$\implies \sf{ \frac{(3x - 2)}{3} + \frac{2x + 3}{2} = x + \frac{7}{6} }$

ANSWER :-

$\implies \sf{ \frac{2(3x - 2) + 3(2x + 3)}{6} = \frac{6x + 7}{6} }$

$\implies \sf{ \frac{12x + 5}{6} = \frac{6x + 7}{6} }$

$\implies \sf{6(12x + 5) = 6 (6x + 7) }$

$\implies \sf{72x + 30 = 42 - 30}$

$\implies \sf{36x = 12}$

$\implies \sf{x = \frac{ \cancel{12} \: {}^{1} }{ \cancel{36} {}^{3} } }$

$\huge \: \: \red \star \: \: \: { \huge \boxed{ \sf{x = \frac{1}{3} }}}$