Giải thích các bước giải:
Ta có:
\(\begin{array}{l}
a,\\
{2^4}.x - 3.5x = {5^2} - {2^4}\\
\Leftrightarrow 16.x - 15.x = 25 - 16\\
\Leftrightarrow \left( {16 - 15} \right).x = 9\\
\Leftrightarrow 1.x = 9\\
\Leftrightarrow x = 9\\
b,\\
{3^2}.x + {2^2} = {26.2^2} - 13\\
\Leftrightarrow 9.x + 4 = 26.4 - 13\\
\Leftrightarrow 9.x + 4 = 104 - 13\\
\Leftrightarrow 9.x + 4 = 91\\
\Leftrightarrow 9.x = 91 - 4\\
\Leftrightarrow 9.x = 87\\
\Leftrightarrow x = 87:9\\
\Leftrightarrow x = \frac{{29}}{3}\\
c,\\
{5^2}.x - {2^4}.x = {3^4} - {6.3^2}\\
\Leftrightarrow 25.x - 16.x = 81 - 6.9\\
\Leftrightarrow \left( {25 - 16} \right).x = 81 - 54\\
\Leftrightarrow 9.x = 27\\
\Leftrightarrow x = 27:9\\
\Leftrightarrow x = 3\\
d,\\
{7^2}.x - 14x = {7^2}.10 - 70\\
\Leftrightarrow 49.x - 14.x = 49.10 - 70\\
\Leftrightarrow \left( {49 - 14} \right).x = 490 - 70\\
\Leftrightarrow 35.x = 420\\
\Leftrightarrow x = 420:35\\
\Leftrightarrow x = 12\\
e,\\
{6^2}.x - {5^2}.x = {11.2^2} - 11\\
\Leftrightarrow 36.x - 25.x = 11.4 - 11\\
\Leftrightarrow \left( {36 - 25} \right).x = 44 - 11\\
\Leftrightarrow 11.x = 33\\
\Leftrightarrow x = 33:11\\
\Leftrightarrow x = 3\\
g,\\
{7^2}.x - {6^2}x = {13.2^3} - 26\\
\Leftrightarrow 49.x - 36.x = 13.8 - 13.2\\
\Leftrightarrow \left( {49 - 36} \right).x = 13.\left( {8 - 2} \right)\\
\Leftrightarrow 13.x = 13.6\\
\Leftrightarrow x = 6\\
h,\\
{2^3}.x + {5^2}.x = 2.\left( {{5^2} + {2^3}} \right) - 33\\
\Leftrightarrow 8.x + 25.x = 2.\left( {25 + 8} \right) - 33\\
\Leftrightarrow \left( {8 + 25} \right).x = 2.33 - 33\\
\Leftrightarrow 33.x = 66 - 33\\
\Leftrightarrow 33.x = 33\\
\Leftrightarrow x = 1
\end{array}\)
