Giải Bài tập 5 trang 36 sgk Toán 8 tập 2 Chân trời

a) $\frac{5x-3}{4}=\frac{x+2}{3}$

$\frac{3(5x-3)}{12}=\frac{4(x+2)}{12}$

15x - 9 = 4x + 8

15x - 4x = 8 + 9

11x = 17

$x=\frac{17}{11}$

b) $\frac{9x+5}{6}=1-\frac{6+3x}{8}$

$\frac{4(9x+5)}{24}=\frac{24-3(6+3x)}{24}$

36x + 20 = 24 - 18 - 9x

36x + 9x = 24 - 18 -20

45x = -22

$x=\frac{-22}{45}$

c) $\frac{2(x+1)}{3}-\frac{1}{2}=\frac{1+3x}{4}$

$\frac{8(x+1)-6}{12}=\frac{3(1+3x)}{12}$

8x + 8 - 6 = 3 + 9x

8x - 9x = 3 + 6 - 8

-x = 1

x = -1

d) $\frac{x+3}{5}-\frac{2}{3}x=\frac{3}{10}$

$\frac{3(x+3)}{15}-\frac{10x}{15}=\frac{3}{10}$

$3x +9-10x=\frac{9}{2}$

$-7x=-\frac{9}{2}$

$x=\frac{9}{14}$