Let's solve the equation step by step:
Given: \[ 1.7 \times (5x - 0.16) = 0.238 \]
Step 1: Divide both sides by 1.7 to isolate the expression in parentheses: \[ 5x - 0.16 = \frac{0.238}{1.7} \]
Calculate \(\frac{0.238}{1.7}\): \[ \frac{0.238}{1.7} \approx 0.14 \]
Step 2: Add 0.16 to both sides to isolate the term with \(x\): \[ 5x = 0.14 + 0.16 = 0.30 \]
Step 3: Divide both sides by 5 to solve for \(x\): \[ x = \frac{0.30}{5} = 0.06 \]
Answer: \[ \boxed{x = 0.06} \]
Let me know if you'd like further explanations!