3-75:
a) 3x + 7 = x - 1
Subtract 7 on both sides to get 3x = x - 8, then subtract x from 3x to get 2x = -8, finally divide 2 on both sides to get x = -4. (Answer is yes)
b) -2x - 4 = -4x + 3
Add 4 on both sides to get -2x = -4x + 7, then add 4x to -2x to get 2x = 7, finally divide 2 on both sides to get x = 7/2. (Answer is no)
c) -3x + 5 + 5x - 1 = 0
Add 1 on both sides to get -3x + 5 + 5x = 1, then subtract 5 on both sides to get -3x + 5x = -4, next combine -3x and 5x together to get 2x = -4, finally divide 2 on both sides to get x = -2. (Answer is no)
d) -(x - 1) = 4x - 5 - 3x
Combine 4x and -3x together to get
-(x - 1) = x - 5, then add (x - 1) and (x - 5) together to get 2x - 6, next do 2x - 6 = 0 and solve for x, by adding 6 on both sides to get 2x = 6, and finally dividing 2 on both sides to get x = 3. (Answer is yes)
Explanation:
I did the whole 3-75 section for you, but I didn't really understand 3-76, and my brain was already hurting by the time I got to section 3-77, sorry.
Hope this helps though, I did my best :)