Solve for $\mathrm{x}$. \[ -3(-5 x+2)+x-3=39 \]

Step 1 ：Distribute the -3 to both terms inside the parentheses: \(-3(-5x+2) = 15x - 6\)

Step 2 ：Combine like terms: \(15x - 6 + x - 3 = 39\)

Step 3 ：Simplify the equation: \(16x - 9 = 39\)

Step 4 ：Isolate the variable \(x\): \(16x = 39 + 9\)

Step 5 ：Simplify further: \(16x = 48\)

Step 6 ：Divide both sides by 16 to solve for \(x\): \(x = \frac{48}{16}\)

Step 7 ：Simplify the fraction: \(x = 3\)

Step 8 ：Final Answer: \(\boxed{3}\)