\(\frac{2x+2}{3x-6}=\frac{2x-6}{3x-15}\)

\(\Rightarrow\left(2x+2\right)\left(3x-15\right)=\left(2x-6\right)\left(3x-6\right)\)

\(\Rightarrow6x^2-30x+6x-30=6x^2-12x-18x+36\)

\(\Rightarrow6x^2-30x+6x-6x^2+12x+18x=36+30\)

\(\Rightarrow6x=66\)

\(\Rightarrow x=11\)

k mk nha

Ta có:\(\frac{2x+2}{3x-6}=\frac{2x-6}{3x-15}\)

\(\Rightarrow\frac{2\left(x+1\right)}{3\left(x-2\right)}=\frac{2\left(x-3\right)}{3\left(x-5\right)}\)

\(\Rightarrow\frac{2}{3}\cdot\frac{x+1}{x-2}=\frac{2}{3}\cdot\frac{x-3}{x-5}\)

\(\Rightarrow\frac{x+1}{x-2}=\frac{x-3}{x-5}\)

\(\Rightarrow\frac{x+1}{x-2}-1=\frac{x-3}{x-5}-1\)

\(\Rightarrow\frac{x+1-x+2}{x-2}=\frac{x-3-x+5}{x-5}\)

\(\Rightarrow\frac{3}{x-2}=\frac{2}{x-5}\)

\(\Rightarrow3\left(x-5\right)=2\left(x-2\right)\)

\(\Rightarrow3x-15=2x-4\)

\(\Rightarrow3x-2x=-4+15\)

\(\Rightarrow x=11\)

x=11

OLM đang duyệt chờ nhá

\(\Leftrightarrow\left|2x-4\right|-\left|6-3x\right|=-\left|x-2\right|\)

\(\Rightarrow-\left|x-2\right|=-1\)

\(\Rightarrow x=1\)hoặc\(3\)

Mà x lớn nhất \(\Rightarrow x=3\)