(0,5x-3)/4x=3/16
=>16×(0,5x-3)=4x×3
=>8x-48=12x=>8x-12x=48
=>-4x=48=>x=-12
\(0,5x-\frac{3}{4}x=\frac{3}{16}\)
\(\frac{1}{2}x-\frac{3}{4}x=\frac{3}{16}\)
\(\left(\frac{1}{2}-\frac{3}{4}\right)x=\frac{3}{16}\)
\(\frac{-1}{4}x=\frac{3}{16}\)
\(x=\frac{3}{16}:\left(\frac{-1}{4}\right)\)
\(x=-\frac{3}{4}\)
Vậy.........................
Bạn viết như thế này thì có 2 cách:
Cách 1:
\(0,5x-\frac{3}{4}x=\frac{3}{16}\)
\(\Rightarrow\left(0,5-\frac{3}{4}\right).x=\frac{3}{16}\)
\(\Rightarrow-\frac{1}{4}x=\frac{3}{16}\)
\(\Rightarrow x=\frac{3}{16}:\left(-\frac{1}{4}\right)\)
\(\Rightarrow x=-\frac{3}{4}\)
Vậy \(x=-\frac{3}{4}.\)
Cách 2:
\(\frac{0,5x-3}{4x}=\frac{3}{16}.\)
\(\Rightarrow\left(0,5x-3\right).16=4x.3\)
\(\Rightarrow8x-48=12x\)
\(\Rightarrow8x-12x=48\)
\(\Rightarrow-4x=48\)
\(\Rightarrow x=48:\left(-4\right)\)
\(\Rightarrow x=-12\)
Vậy \(x=-12.\)
Chúc bạn học tốt!