Esercizio. 
Risolvere la seguente equazione
![\[x-\left\{ 0.2 - \left[x-\dfrac{2}{5}-\left(\dfrac{x-1}{3}-\dfrac{1}{2}\right)\right] \left(2-\dfrac{1}{2}\right) \right\} + \dfrac{21}{20}=0\]](https://quisirisolve.com/wp-content/ql-cache/quicklatex.com-5397d56c696d03317d6cf4f9b55ca0dc_l3.png "Rendered by QuickLaTeX.com")
Soluzione.
\textbf{Soluzione.}\\
\textbf{Soluzione.}\\
![\[\begin{aligned} & x-\left\{ 0.2 - \left[x-\dfrac{2}{5}-\left(\dfrac{x-1}{3}-\dfrac{1}{2}\right)\right] \left(2-\dfrac{1}{2}\right) \right\} + \dfrac{21}{20}=0 \quad \Leftrightarrow \quad\\ \\ & \quad \Leftrightarrow \quad x-\left\{ \dfrac{1}{5} - \left[x-\dfrac{2}{5}- \dfrac{2x-5}{6}\right] \left(\dfrac{4-1}{2}\right) \right\} + \dfrac{21}{20}=0 \quad \Leftrightarrow \quad \\\\ & \quad \Leftrightarrow \quad x-\left\{ \dfrac{1}{5} - \dfrac{20+13x}{30} \; \dfrac{3}{2} \right\} + \dfrac{21}{20}=0 \quad \Leftrightarrow \quad \\\\ & \quad \Leftrightarrow \quad x-\left\{ \dfrac{1}{5} - \dfrac{20+13x}{20} \right\} + \dfrac{21}{20}=0 \quad \Leftrightarrow \quad \\\\ & \quad \Leftrightarrow \quad x +\dfrac{20x+9}{20} + \dfrac{21}{20}=0 \quad \Leftrightarrow \quad \\\\ & \quad \Leftrightarrow \quad 20x+20x+9+21=0 \quad \Leftrightarrow \quad \\\\ & \quad \Leftrightarrow \quad 40x=-30 \quad \Leftrightarrow \quad \\\\ & \quad \Leftrightarrow \quad x=-\dfrac{3}{4} \end{aligned}\]](https://quisirisolve.com/wp-content/ql-cache/quicklatex.com-8f11c184c5159c0e94e4c76cae9c1196_l3.png "Rendered by QuickLaTeX.com")
Fonte: Moduli di lineamenti di matematica – N.Dodero, P.Baroncini e R.Manfredi
Esercizio 30 – Equazione di primo grado
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Fonte: Moduli di lineamenti di matematica – N.Dodero, P.Baroncini e R.Manfredi