5+3(q-4)=2(q+1)
mutiply the first bracket by 3
(3)(q)=3q
(3)(-4)=-12
mutiply the second bracket by 2
(2)(q)=2q
(2)(1)= 2
5+3q-12= 2q+2
5-12+3q= 2q+2
-7+3q= 2q+2
move 2q to the other side
sign changes from +2q to -2q
-7+3q-2q= 2q-2q+2
-7+3q-2q= 2
-7+q= 2
move -7 to the other side
sign changes from -7 to +7
-7+7+q= 2+7
q= 2+7
Answer: q= 9