Step 1 :Expand the left side: 4(x+9)=4x+36
Step 2 :Subtract 4x from both sides: 36=2x-4
Step 3 :Add 4 to both sides: 40=2x
Step 4 :Divide both sides by 2: x=20
Step 5 :Check the solution: 4(20+9)=6(20)-4
Step 6 :Simplify: 4(29)=120-4
Step 7 :Simplify further: 116=116
Step 8 :Final answer: x=\boxed{20}