Solve the equation provided in the image.

The solution to the equation is as follows: Given equation: \[ 4 \div (2 \times x + 4) = \frac{5}{27} \] Step 1: Remove the division by rewriting it as multiplication: \[ \frac{4}{2x + 4} = \frac{5}{27} \] Step 2: Cross multiply: \[ 4 \times 27 = 5 \times (2x + 4) \] Step 3: Simplify both sides: \[ 108 = 10x + 20 \] Step 4: Solve for \( x \): \[ 108 - 20 = 10x \] \[ 88 = 10x \] \[ x = \frac{88}{10} \] \[ x = 8.8 \] Thus, the solution is \( x = 8.8 \).