Hi Fabian,
Here's a step-by-step solution:
-3(4x+3)+4(6x+1)=43
-12x-9+24x+4=43 Distribute
-12x+24x-9+4=43 Group all like terms together
12x-5=43
12x=43+5 Isolate the x on one side
12x=48
x=48/12
x=4
∴The answer is x=4
Best,
Star