Solve by Factoring (-2x+6)^(1/5)=(-8+10x)^(1/5)

${(- 2 x + 6)}^{\frac{1}{5}} = {(- 8 + 10 x)}^{\frac{1}{5}}$

Step 1

Subtract ${(- 8 + 10 x)}^{\frac{1}{5}}$ from both sides of the equation.

${(- 2 x + 6)}^{\frac{1}{5}} - {(- 8 + 10 x)}^{\frac{1}{5}} = 0$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x \approx 1.16666666$

Step 3