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a, \(3x-4=6+2x\)
\(\Leftrightarrow3x-4-6-2x=0\)
\(\Leftrightarrow x-10=0\Leftrightarrow x=10\)
b, \(\frac{27}{40}x-\frac{3}{\frac{4}{15}}=\frac{2}{\frac{1}{12}}\)
\(\Leftrightarrow\frac{27}{40}x-\frac{45}{4}=24\Leftrightarrow\frac{27}{40}x=\frac{141}{4}\Leftrightarrow x=\frac{470}{9}\)
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9^12.3^5+9^15/(2.27)^5.3^14
3^2^12.3^5+3^2^15/2^5.27^5.3^14
3^29+3^30/2^5.3^3^5.3^14
3^29(1+3)/32.3^29
=1+3/32=1/8
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\(\left\{{}\begin{matrix}26⋮x\\x\ge13\end{matrix}\right.\Rightarrow x\in\left\{13;26\right\}\)
\(\left\{{}\begin{matrix}16⋮x\\x< 8\end{matrix}\right.\Rightarrow x\in\left\{1;2;4\right\}\)
\(\left\{{}\begin{matrix}18⋮x\\0< x< 40\end{matrix}\right.\Rightarrow x\in\left\{1;2;3;6;9;18\right\}\)
\(\left\{{}\begin{matrix}x⋮15\\30< x< 40\end{matrix}\right.\Rightarrow x\in\varnothing\)
\(\left\{{}\begin{matrix}x⋮12\\22\le5x\le50\end{matrix}\right.\Rightarrow x\in\varnothing\)
\(\left\{{}\begin{matrix}x⋮4\\16\le x\le36\end{matrix}\right.\Rightarrow x\in\left\{16;20;24;28;32;36\right\}\)
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\(8x-48+4x-12-14=-x+4\)
\(\Leftrightarrow12x-75=-x+4\Leftrightarrow13x=79\Leftrightarrow x=\dfrac{79}{13}\)
\(-7\left(8-x\right)-6\left(x+9\right)=20-x\Leftrightarrow-56+7x-6x-54=20-x\)
\(\Leftrightarrow2x=130\Leftrightarrow x=65\)
\(9x-63-80+60x=-7x+15\Leftrightarrow76x=158\Leftrightarrow x=\dfrac{79}{38}\)
\(-96-16x-60+30x=-40x-16\Leftrightarrow54x=140\Leftrightarrow x=\dfrac{70}{27}\)
\(17x-102-14x-28=4x-24-2x+4\Leftrightarrow x=110\)
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