Algebravorstufe Beispiele

$2 x - 6 = 2 (x - 8) + 10$

Schritt 1

Vereinfache $2 (x - 8) + 10$ .

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Schritt 1.1

Vereinfache jeden Term.

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Schritt 1.1.1

Wende das Distributivgesetz an.

$2 x - 6 = 2 x + 2 \cdot - 8 + 10$

Schritt 1.1.2

Mutltipliziere $2$ mit $- 8$ .

$2 x - 6 = 2 x - 16 + 10$

Schritt 1.2

Addiere $- 16$ und $10$ .

$2 x - 6 = 2 x - 6$

Schritt 2

Stelle jede Seite der Gleichung graphisch dar. Die Lösung ist der x-Wert des Schnittpunktes.

$x \approx - 28.7\overline{9}, - 28.6\overline{9}, - 28.5\overline{9}, - 28.4\overline{9}, - 28.3\overline{9}, - 28.2\overline{9}, - 28.1\overline{9}, - 28.0\overline{9}, - 28, - 27.8\overline{9}, - 27.7\overline{9}, - 27.6\overline{9}, - 27.3\overline{9}, - 27.2\overline{9}, - 27.1\overline{9}, - 27.0\overline{9}, - 27, - 26.8\overline{9}, - 26.7\overline{9}, - 26.6\overline{9}, - 26.5\overline{9}, - 26.4\overline{9}, - 26.3\overline{9}, - 26.2\overline{9}, - 26.1\overline{9}, - 26.0\overline{9}, - 26, - 25.8\overline{9}, - 25.7\overline{9}, - 25.6\overline{9}, - 25.3\overline{9}, - 25.2\overline{9}, - 25.1\overline{9}, - 25.0\overline{9}, - 25, - 24.8\overline{9}, - 24.7\overline{9}, - 24.6\overline{9}, - 24.5\overline{9}, - 24.2\overline{9}, - 24.1\overline{9}, - 24.0\overline{9}, - 13, - 12.8\overline{9}, - 12.7\overline{9}, - 12.6\overline{9}, - 12.5\overline{9}, - \frac{25}{2}, - 12.2\overline{9}, - 12.1\overline{9}, - 12.0\overline{9}, - 12, - \frac{59}{5}, - 11.6\overline{9}, - \frac{58}{5}, - \frac{23}{2}, - 11.2\overline{9}, - \frac{56}{5}, - 11.0\overline{9}, - 11, - \frac{54}{5}, - 10.6\overline{9}, - \frac{53}{5}, - \frac{21}{2}, - 10.2\overline{9}, - 10.0\overline{9}, - 10, - 9.9, - \frac{49}{5}, - \frac{48}{5}, - \frac{47}{5}, - 9.3, - 9, - 8.9, - \frac{44}{5}, - 8.7, - \frac{43}{5}, - \frac{17}{2}, - \frac{42}{5}, - 8.3, - \frac{41}{5}, - 8.1, - 4, - \frac{19}{5}, - \frac{7}{2}, - \frac{17}{5}, - \frac{16}{5}, - 3, - 2.7, - \frac{13}{5}, - \frac{12}{5}, - \frac{11}{5}, - 1.9, - \frac{9}{5}, - \frac{8}{5}, - \frac{7}{5}, - 1.1, - 1, - \frac{3}{5}, - \frac{1}{2}, - 0.1, 0$

Schritt 3