\(\dfrac{10x+3}{12}=1+\dfrac{6+8x}{9}.\\ \Leftrightarrow\dfrac{10x+3}{12}=\dfrac{9+6+8x}{9}.\\ \Leftrightarrow\dfrac{10x+3}{12}=\dfrac{8x+15}{9}.\\ \Rightarrow90x+27-96x-180=0.\\ \Leftrightarrow-6x=153.\Leftrightarrow x=\dfrac{-51}{2}.\)
\(\dfrac{10x+3}{12}=1+\dfrac{6+8x}{9}\)
\(\Leftrightarrow\dfrac{3\left(10x+3\right)}{36}=\dfrac{36}{36}+\dfrac{4\left(6+8x\right)}{36}\)
\(\Leftrightarrow3\left(10x+3\right)=36+4\left(6+8x\right)\)
\(\Leftrightarrow30x+9=36+24+32x\)
\(\Leftrightarrow30x+9=32x+60\)
\(\Leftrightarrow32x+60-30x-9=0\)
\(\Leftrightarrow2x+51=0\)
\(\Leftrightarrow2x=-51\)
\(\Leftrightarrow x=\dfrac{-51}{2}\)
