Question

2(2x-4)=3(2x-4)
Solve for the variable

Answer 1

no you distributed right but the second step would end up being
4=2x. which would mean x=2. if you plug in the value for the variable to check 4 doesn't work (8=12) but plugging in 2 gives you 0=0 which works.

Answer 2

i think its
\[2(2x-4)=3(2x-4)\]
then 4x-8=6x-12
transpose 6x and 8..
4x-6x=-12+8
-2x=-4
divide both by -2 so.. x=2