solve step by step:
( - 2x + 6)^1/5 = ( - 8 + 10x)^1/5
step 1: Cross Multiply
(( -2)(x) + 6)^1/5 = ( - 8 + 10x)^1/5
(( - 2)(x) + 6)^1 * (5) = ( - 8 + 10x)^1 * (5)
- 10x + 30 = 50x - 40
Step 2: Subtract 50x from both sides
- 10x + 30 - 50x = 50x - 40 - 50x
- 60x + 30 = - 40
Step 3 Subtract 30 from both sides
- 60x + 30 - 30 = - 40 - 30
- 60x = - 70
Step 4 Divide both sides by - 60
- 60x/ - 60 = - 70/ - 60
X = 7/6
Answer: (D); X = 7/6
