Tìm x, biết: (a) 2(3x−5)+2(1−x)=−4.
Giải thích
a) \(2\left( {3x - 5} \right) + 2\left( {1 - x} \right) = - 4\)
\(6x - 10 + 2 - 2x = - 4\)
\(6x - 2x = 10 - 2 - 4\)
\(4x = 4\)
\(x = 1\)
Vậy \(x = 1\).
b) \(6x\left( {x + 1} \right) - \left( {2x - 5} \right)\left( {3x + 2} \right) = - 5\)
\[\left( {6{x^2} + 6x} \right) - \left( {6{x^2} + 4x - 15x - 10} \right) = - 5\]
\[6{x^2} + 6x - 6{x^2} + 11x + 10 = - 5\]
\[6{x^2} - 6{x^2} + 6x + 11x = - 10 - 5\]
\[17x = - 15\].
\[x = - \frac{{15}}{{17}}\].
Vậy \[x = - \frac{{15}}{{17}}\].