\( 10 x-1=15-6 x \)
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To solve the equation \( 10x - 1 = 15 - 6x \), start by getting all terms involving \( x \) on one side and constant terms on the other. Add \( 6x \) to both sides to get \( 10x + 6x - 1 = 15 \), simplifying to \( 16x - 1 = 15 \). Next, add \( 1 \) to both sides: \( 16x = 16 \). Finally, divide both sides by \( 16 \) to find \( x = 1 \). To double-check your solution, you can substitute \( x = 1 \) back into the original equation. Both sides simplify to \( 9 \), confirming that your answer is indeed correct!