Đáp án:
a) x=2
Giải thích các bước giải:
\(\begin{array}{l}
DK:x \in Z\\
a) - 2x - x + 17 = 34 + x - 25\\
\to 4x = 8\\
\to x = 2\\
b)17x + 16x + 37 = 2x + 43\\
\to 31x = 6\\
\to x = \dfrac{6}{{31}}\left( l \right)\\
c) - 2x - 3x + 51 = 34 + 2x - 50\\
\to 7x = 67\\
\to x = \dfrac{{67}}{7}\left( l \right)\\
d)17x - 48x - 111 = - 2x + 43\\
\to 29x = - 154\\
\to x = - \dfrac{{154}}{{29}}\left( l \right)\\
e) - 3x + 2\left( {45 - x - 9x - 21 - 2x} \right) + 4x = 55\\
\to x + 56 - 24x = 55\\
\to 23x = 1\\
\to x = \dfrac{1}{{23}}\left( l \right)\\
f) - 103 - 57:\left( { - 2\left( {4{x^2} - 4x + 1} \right) - 1} \right) = - 106\\
\to 57:\left( { - 2\left( {4{x^2} - 4x + 1} \right) - 1} \right) = 3\\
\to - 2\left( {4{x^2} - 4x + 1} \right) - 1 = 19\\
\to - 2\left( {4{x^2} - 4x + 1} \right) = 20\\
\to 4{x^2} - 4x + 1 = - 10\\
\to 4{x^2} - 4x + 11 = 0\left( {vô nghiệm} \right)\\
g) - 2x + 3\left[ {12 - 2\left( {3x - 20 - 2x - 4x} \right) + 1} \right] = 45\\
\to - 2x + 3\left( {52 + 6x + 1} \right) = 45\\
\to 16x = - 114\\
\to x = - \dfrac{{57}}{8}\left( l \right)
\end{array}\)
