2(12q+1)=−3(2q−1)+8q+4 .

Answer 1

Solving for q.

Make each side of the equation as simple as possible by removing parenthesis and combining similar terms.

24q + 2 = -6q + 3 + 8q + 4

24q + 2 = 2q + 7

Now transpose (drag) terms so that constant terms are on one side and terms containing q are on the other side (of the equal sign).

24q - 2q = 7 - 2 (you can probably visualize this step mentally and go right to the next line)

22q = 5 (now divide both sides by the coefficient of q)

q = 5/22

Want to check?

2[12(5/22) + 1] =? -3[2(5/22) - 1] + 8(5/22) + 4

2[30/11 + 11/11] =? -3(5/11 - 11/11) + 20/11 + 44/11

2(41/11) =? 18/11 +20/11 + 44/11

82/11 = ? 82/11 (check!)