Question

22/5*(-3/8х+1/4)=4,5 решите уравнение

Answer 1

-2 2/5*(-3/8х+1/4)=4,5
-3/8х+1/4=4,5÷(-2 2/5)
1/4-3/8х=-4 5/10÷2 2/5
1/4-3/8х=-45/10÷12/5
1/4-3/8х=-45/10×5/12
1/4-3/8х=-15/2×1/4
1/4-3/8х=-15/8
3/8х=1/4-(-1 7/8)
3/8х=1/4+1 7/8
3/8х=2/8+1 7/8
3/8х=1 9/8
х=1 9/8÷3/8
х=17/8÷3/8
х=17/8×8/3
х=17×1/3
х=17/3
х=5 2/3

Answer 2

-2 $\frac{2}{5}$ *(-$\frac{3}{8}$x+$\frac{1}{4}$)=4,5
-$\frac{12}{5}$(-$\frac{3}{8}$x + $\frac{1}{4}$) = 4,5
$\frac{36}{40}$x - $\frac{12}{20}$ = 4,5
$\frac{36}{40}$x - $\frac{24}{40}$ = 4,5 |*40
36x - 24 = 180
36x=204
x = $\frac{17}{3}$
x = 5 $\frac{2}{3}$