31. Carbon monoxide reacts with hydrogen gas to produce a mixture of methane, carbon dioxide, and water. (This mixture is known as substitute natural gas.)

Question

31. Carbon monoxide reacts with hydrogen gas to produce a mixture of methane, carbon dioxide, and water. (This mixture is known as substitute natural gas.)
 4CO(g) + 8H2(g) → 3CH4(g) + CO2(g) + 2H2O(_)
 Use the following thermochemical equations to determine the enthalpy change of the reaction.
 C(graphite) + 2H2(g) → CH4(g) + 74.8 kJ
 CO(g) + 12O2(g) → CO2(g) + 283.1 kJ
 H2(g) + 12 O2(g) → H2O(g) + 241.8 kJ
 C(graphite) + 12O2(g) → CO(g) + 110.5 kJ
 H2O(l) + 44.0 kJ → H2O(g)

this is required to use the Hess's law, and the manipulation of the equations and mutiplying to get the coeeficients from the orginal question, however i am getting -641kJ...the answer is wrong..any suggestions of what to do..
 below is my answer:
 multiplied the 1st equation by 3
 no change to the second equation
 multiplied the 3rd equation by 2
 mutiplied the 4th equation by 4 and flipped the equation
 fifth equation multiplied by two and flipped

DrBob222 · Answer

It appears to me that the first equation x 3 gives 3C(graphite) and the fourth x 4 and reversed gives 4C(graphite) so those don't cancel. I stopped there.