$2(5 x+8)=26$

Step 1 ：Distribute the 2 on the left side of the equation to get \(10x + 16 = 26\).

Step 2 ：Subtract 16 from both sides of the equation to get \(10x = 10\).

Step 3 ：Divide both sides of the equation by 10 to solve for x, which gives \(x = 1.0\).

Step 4 ：The solution to the equation \(2(5x+8)=26\) is \(x = \boxed{1.0}\).