Question

What is the best way to classify each equation? 22-3x+7x=4(x+5) ,6(2x-3=3(3-5), 6x-14=2(3x-7), 6x+3(x-4)=8(x-3)

Answer 1

1. 22 - 3x + 7x = 4(x + 5)
22 - 3x + 7x = 4x + 20
+3x +3x +3x
22 + 10x = 7x + 20
-7x -7x
22 + 3x = 20
-22 -22
3x = -2
3 3
x = -2/3

2. 6(2x - 3) = 3(3 - 5)
12x - 18 = 3(-2)
12x - 18 = -6
+18 +18
12x = 12
12 12
x = 1

3. 6x - 14 = 2(3x - 7)
6x - 14 = -3x
6x - 14 = 2(-7)
6x - 14 = -14
+14 +14
6x = 0
6 6
x = 0

4. 6x + 3(x - 4) = 8(x - 3)
6x + 3x - 12 = 8x - 24
9x - 12 = 8x - 24
-8x -8x
x - 12 = -24
+12 +12
x = -12