Consider the equation. \[ 2 x+5=8 x-4 \] What is the solution to the equation? $-\frac{3}{2}$ $-\frac{1}{6}$ $\frac{1}{6}$ $\frac{3}{2}$

Step 1 ：Consider the equation \(2x + 5 = 8x - 4\).

Step 2 ：To solve for x, we need to isolate x on one side of the equation.

Step 3 ：Subtract 2x from both sides to get \(5 = 6x - 4\).

Step 4 ：Add 4 to both sides to get \(9 = 6x\).

Step 5 ：Divide both sides by 6 to solve for x, \(x = \frac{9}{6} = \frac{3}{2}\).

Step 6 ：The solution to the equation is \(\boxed{\frac{3}{2}}\).