Ответ:

Avval surat va maxrajni soddalashtiramiz:

\(2(3x+4)+3(2x+4)=12x+20\),

\(-3(2x+4)+4(2x-3)=2x-24\). Maxraj nol bo‘lmasligi uchun \(x\ne12\).

\(\frac{12x+20}{2x-24}=\frac{4}{3}\)

\(3(12x+20)=4(2x-24)\)

\(36x+60=8x-96\)

\(28x=-156\), demak \(x=-\frac{156}{28}=-\frac{39}{7}\). Bu qiymat \(x\ne12\) shartini qanoatlantiradi.

Javob: \(x=-\frac{39}{7}\). Ko‘rinib turgan D variantida minus belgisi bo‘lmasa, variantlarda to‘g‘ri javob yo‘q; D varianti \(-\frac{156}{28}\) bo‘lishi kerak.