Đáp án:
f) x=2
Giải thích các bước giải:
\(\begin{array}{l}
a)DK:x \ne 5\\
Pt \to 12x - 9 = 29x - 145\\
\to 17x = 136\\
\to x = 8\\
d)DK:x \ne \left\{ { - 2;5} \right\}\\
Pt \to 7x - 35 = 3x + 6\\
\to 4x = 41\\
\to x = \dfrac{{41}}{4}\\
b)DK:x \ne \dfrac{5}{3}\\
Pt \to 2x - 1 = 10 - 6x\\
\to 8x = 11\\
\to x = \dfrac{{11}}{8}\\
e)DK:x \ne \left\{ { - 5;0} \right\}\\
\dfrac{{2x + 5}}{{2x}} = \dfrac{x}{{x + 5}}\\
\to \left( {2x + 5} \right)\left( {x + 5} \right) = 2{x^2}\\
\to 2{x^2} + 15x + 25 = 2{x^2}\\
\to 15x = - 25\\
\to x = - \dfrac{5}{3}\\
c)DK:x \ne 1\\
\dfrac{{4x - 5 - x}}{{x - 1}} = 2\\
\to \dfrac{{3x - 5}}{{x - 1}} = 2\\
\to 3x - 5 = 2x - 2\\
\to x = 3\\
f)DK:x \ne \dfrac{4}{{11}}\\
\dfrac{{12x + 1}}{{11x - 4}} + \dfrac{{10x - 4}}{9} = \dfrac{{20x + 17}}{{18}}\\
\to \dfrac{{12x + 1}}{{11x - 4}} = \dfrac{{20x + 17 - 20x + 8}}{{18}}\\
\to \dfrac{{12x + 1}}{{11x - 4}} = \dfrac{{25}}{{18}}\\
\to 216x + 18 = 275x - 100\\
\to 59x = 118\\
\to x = 2
\end{array}\)
