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