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<math>\begin{aligned}
\dfrac{6x+5}{4}-\dfrac{2x+4}{2}&=3\\
\dfrac{6x+5}{4}-\dfrac{2(2x+4)}{4} &= 3\\
\dfrac{(6x+5)-2(2x+4)}{4} &= 3\\
\dfrac{6x+5-4x-8}{4} &=3\\
\dfrac{2x-3}{4} &=3\\
2x-3&=12\\
2x&=15\\
x&=\dfrac{15}{2}\\\\\end{aligned}</math>