What value of \(x\) satisfies the equation \(-3(4x-5)=2(1-5x)\) ?
\( -\dfrac{17}{2}\)
\( -\dfrac{17}{22}\)
\(-1\)
\( \dfrac{3}{17}\)
\( \dfrac{13}{2}\)
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$$ -3(4x-5)=2(1-5x) $$ $$ -12x+15 = 2-10x $$ $$ 13=2x $$ $$ x=\boxed{\frac{13}{2}} $$