Looking at the reaction between hydrogen and carbon monoxide to form methanol:
CO + 2 H2 ⇌ CH3OH
There are 3 moles on the left hand side and 1 mole on the right hand side.
According to Le Chatelier's Principle the equilibrium will move in the direction of less molecules to counteract the increase in pressure.
Therefore, an increase in pressure in this reaction will lead to an increase in methanol being produced, hence, the equilibrium is moving to the right.