a)

x10−710=914\frac{x}{10} - \frac{7}{10} = \frac{9}{14}10x​−107​=149​ x10=914+710=4570+4970=9470=4735\frac{x}{10} = \frac{9}{14} + \frac{7}{10} = \frac{45}{70} + \frac{49}{70} = \frac{94}{70} = \frac{47}{35}10x​=149​+107​=7045​+7049​=7094​=3547​ x=4735⋅10=947x = \frac{47}{35} \cdot 10 = \frac{94}{7}x=3547​⋅10=794​

b)

32x−12=13(−56)=−518\frac{3}{2}x - \frac{1}{2} = \frac{1}{3}\left(-\frac{5}{6}\right) = -\frac{5}{18}23​x−21​=31​(−65​)=−185​ 32x=−518+12=−518+918=418=29\frac{3}{2}x = -\frac{5}{18} + \frac{1}{2} = -\frac{5}{18} + \frac{9}{18} = \frac{4}{18} = \frac{2}{9}23​x=−185​+21​=−185​+189​=184​=92​ x=29⋅23=427x = \frac{2}{9} \cdot \frac{2}{3} = \frac{4}{27}x=92​⋅32​=274​

c)

x⋅5,01=7,02−1,5=5,52x \cdot 5,01 = 7,02 - 1,5 = 5,52x⋅5,01=7,02−1,5=5,52 x=5,525,01≈1,102x = \frac{5,52}{5,01} \approx 1,102x=5,015,52​≈1,102

d)

35x−13=14\frac{3}{5}x - \frac{1}{3} = \frac{1}{4}53​x−31​=41​ 35x=14+13=312+412=712\frac{3}{5}x = \frac{1}{4} + \frac{1}{3} = \frac{3}{12} + \frac{4}{12} = \frac{7}{12}53​x=41​+31​=123​+124​=127​ x=712⋅53=3536x = \frac{7}{12} \cdot \frac{5}{3} = \frac{35}{36}x=127​⋅35​=3635​

e)

2x+32,91=17,86⇒2x=17,86−32,91=−15,052x + 32,91 = 17,86 \quad \Rightarrow \quad 2x = 17,86 - 32,91 = -15,052x+32,91=17,86⇒2x=17,86−32,91=−15,05 x=−7,525x = -7,525x=−7,525

???? Kết quả:
a) x=947x = \tfrac{94}{7}x=794​
b) x=427x = \tfrac{4}{27}x=274​
c) x≈1,102x \approx 1,102x≈1,102
d) x=3536x = \tfrac{35}{36}x=3635​
e) x=−7,525x = -7,525x=−7,525