Giải các phương trình: a) (5x − 8)/7 − 3 (2x + 1) /14 = (4x − 5)/ 21 − 1,5 ;

a) \(\frac{{5x - 8}}{7} - \frac{{3\left( {2x + 1} \right)}}{{14}} = \frac{{4x - 5}}{{21}} - 1,5\)

\(6\left( {5x - 8} \right) - 9\left( {2x + 1} \right) = 2\left( {4x - 5} \right) - 63\)

\(30x - 48 - 18x - 9 = 8x - 10 - 63\)

\(\begin{array}{l}30x - 18x - 8x =  - 10 - 63 + 48 + 9\\4x =  - 16\\x =  - 4\end{array}\)

b) \(\frac{{{{(2x + 1)}^2}}}{6} - \frac{{{{(x - 3)}^2}}}{{10}} = \frac{{29{x^2} - 22}}{{30}} - \frac{{x\left( {6x - 19} \right)}}{{15}}\)

\(\begin{array}{l}5\left( {4{x^2} + 4x + 1} \right) - 3\left( {{x^2} - 6x + 9} \right) = 29{x^2} - 22 - 2x\left( {6x - 19} \right)\\20{x^2} + 20x + 5 - 3{x^2} + 18x - 27 = 29{x^2} - 22 - 12{x^2} + 38x\\{\rm{\;}}0x = 0.\end{array}\)

Phương trình nghiệm đúng với mọi \(x\).