Problem

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

Answer

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Answer

Final Answer: \(\boxed{3}\)

Steps

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: \(\boxed{3}\)

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