Question

solve the following linear equation 2x-3/6 - x-5/2 = x/6​

Answer 1

$\mathrm\red{Given \: \: Equation : } \\ \\ \mathrm{ \frac{2x - 3}{6} - \frac{x - 5}{2} = \frac{x}{6} } \\ \\ \mathrm{ \frac{2x - 3 - 3x + 15}{6} = \frac{x}{6} } \\ \\ \mathrm{ \frac{ - x + 12}{ \cancel{6}} = \frac{x}{ \cancel6} } \\ \\ \mathrm{ - x + 12 = x} \\ \\ \mathrm{x + x = 12} \\ \\ \mathrm{2x = 12} \\ \\ \mathrm{x = \frac{ \cancel{12} \: \: ^{6} }{ \cancel{2} \: \: _1} } \\ \\ \boxed{\mathsf \red{x = 6}}$