$8 x-30=-2(x+5)$

Step 1 ：Distribute the -2 on the right side of the equation to both x and 5, we get \(8x - 30 = -2x - 10\).

Step 2 ：Combine like terms on both sides of the equation, we get \(10x = 20\).

Step 3 ：Subtract the x term on the right side from both sides of the equation to get all x terms on the left side, we get \(10x = 20\).

Step 4 ：Divide both sides of the equation by the coefficient of x to solve for x, we get \(x = 2\).

Step 5 ：Substitute x = 2 into the original equation, both sides of the equation should be equal, we get \(-14 = -14\).

Step 6 ：The solution to the equation \(8x - 30 = -2(x + 5)\) is \(x = \boxed{2}\).