\(\frac{2x+3}{6}=\frac{7x-3}{15}\)
\(15\left(2x+3\right)=6\left(7x-3\right)\)
\(30x+45=42x-18\)
\(30x-42x=-18-45\)
\(-12x=-63\)
\(x=\frac{21}{4}\)
\(\frac{2x+3}{6}=\frac{7x-3}{15}\)
\(\Rightarrow\frac{5.\left(2x+3\right)}{30}=\frac{2.\left(7x-3\right)}{30}\)
\(\Rightarrow5.\left(2x+3\right)=2.\left(7x-3\right)\)
\(\Rightarrow10x+15=14x-6\)
\(\Rightarrow10x-14x=-6-15\)
\(\Rightarrow-4x=-21\)
\(\Rightarrow x=-21:\left(-4\right)\)
\(\Rightarrow x=\frac{21}{4}\)
\(\frac{\left(2x+3\right)}{6}=\frac{\left(7x-3\right)}{15}\)
\(\Leftrightarrow\left(2x+3\right).15=\left(7x-3\right).6\)
\(\Leftrightarrow30x+45=42x-18\)
\(\Leftrightarrow42x-30x=45+18\)
\(\Leftrightarrow12x=63\)
\(\Leftrightarrow x=\frac{21}{4}=5,25\)