Question 1
2x + 4 + x - 7 = 3(x-7)
Add like terms, x-terms add
3x + 4 - 7 = 3(x-7)
Subtract 7 from 4
3x - 3 = 3(x-7)
Multiply out right side with distributive property, 3 times x, and 3 times -7
3x -3 = 3x - 21
Add 21 on each side to cancel -21 on right
3x + 18 = 3x
This is impossible, 3x + 18 cannot equal 3x, plug value in to check, 3(1) + 18 = 3(1), 21 not equal to 3
Question 1 Answer : No Answer
Question 2
4(m-2) = -3(m-16)
Multiply using distributive property on each side
4m - 8 = -3m + 48
Add 8 on each side to cancel -8 on left
4m = -3m + 56
Add 3m on each side to cancel -3m on right
7m = 56
Divide 7 on each side to make 7m : m
m = 56/7
m = 8
Answer to Question 2 : 8