\(15x+3-4x=17x-12x+43\)
\(\Leftrightarrow15x-4x+3=x\left(17-12\right)+43\)
\(\Leftrightarrow x\left(15-4\right)+3=5x+43\)
\(\Leftrightarrow11x+3=5x+43\)
\(\Leftrightarrow6x=40\)
\(\Leftrightarrow x=40\div6\)
\(\Leftrightarrow x=\frac{40}{6}\)
\(\Leftrightarrow x=\frac{20}{3}\)