Mình giải từng câu nha ✏️😊

a) 12+32x=116\dfrac{1}{2} + \dfrac{3}{2}x = \dfrac{11}{6}21​+23​x=611​
Ta có:

32x=116−12\dfrac{3}{2}x = \dfrac{11}{6} - \dfrac{1}{2}23​x=611​−21​Quy đồng 12=36\dfrac{1}{2} = \dfrac{3}{6}21​=63​

32x=116−36=86=43\dfrac{3}{2}x = \dfrac{11}{6} - \dfrac{3}{6} = \dfrac{8}{6} = \dfrac{4}{3}23​x=611​−63​=68​=34​ x=43:32x = \dfrac{4}{3} : \dfrac{3}{2}x=34​:23​ x=43×23=89x = \dfrac{4}{3} \times \dfrac{2}{3} = \dfrac{8}{9}x=34​×32​=98​✅ x = 8/9

b) 32x−12=16\dfrac{3}{2}x - \dfrac{1}{2} = \dfrac{1}{6}23​x−21​=61​
32x=16+12\dfrac{3}{2}x = \dfrac{1}{6} + \dfrac{1}{2}23​x=61​+21​Quy đồng 12=36\dfrac{1}{2} = \dfrac{3}{6}21​=63​

32x=16+36=46=23\dfrac{3}{2}x = \dfrac{1}{6} + \dfrac{3}{6} = \dfrac{4}{6} = \dfrac{2}{3}23​x=61​+63​=64​=32​ x=23:32x = \dfrac{2}{3} : \dfrac{3}{2}x=32​:23​ x=23×23=49x = \dfrac{2}{3} \times \dfrac{2}{3} = \dfrac{4}{9}x=32​×32​=94​✅ x = 4/9

c) 12+34x=−18\dfrac{1}{2} + \dfrac{3}{4}x = -\dfrac{1}{8}21​+43​x=−81​
34x=−18−12\dfrac{3}{4}x = -\dfrac{1}{8} - \dfrac{1}{2}43​x=−81​−21​Quy đồng 12=48\dfrac{1}{2} = \dfrac{4}{8}21​=84​

34x=−18−48=−58\dfrac{3}{4}x = -\dfrac{1}{8} - \dfrac{4}{8} = -\dfrac{5}{8}43​x=−81​−84​=−85​ x=−58:34x = -\dfrac{5}{8} : \dfrac{3}{4}x=−85​:43​ x=−58×43=−2024=−56x = -\dfrac{5}{8} \times \dfrac{4}{3} = -\dfrac{20}{24} = -\dfrac{5}{6}x=−85​×34​=−2420​=−65​✅ x = -5/6

d) 23x+15=−43\dfrac{2}{3}x + \dfrac{1}{5} = -\dfrac{4}{3}32​x+51​=−34​
23x=−43−15\dfrac{2}{3}x = -\dfrac{4}{3} - \dfrac{1}{5}32​x=−34​−51​Quy đồng mẫu 15:

−43=−2015-\dfrac{4}{3} = -\dfrac{20}{15}−34​=−1520​ 15=315\dfrac{1}{5} = \dfrac{3}{15}51​=153​ 23x=−2015−315=−2315\dfrac{2}{3}x = -\dfrac{20}{15} - \dfrac{3}{15} = -\dfrac{23}{15}32​x=−1520​−153​=−1523​ x=−2315:23x = -\dfrac{23}{15} : \dfrac{2}{3}x=−1523​:32​ x=−2315×32=−6930=−2310x = -\dfrac{23}{15} \times \dfrac{3}{2} = -\dfrac{69}{30} = -\dfrac{23}{10}x=−1523​×23​=−3069​=−1023​✅ x = -23/10

Nếu cần mình giải theo kiểu trình bày "Lời giải" đầy đủ để chép vào vở thì nói mình nha 📚✨