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Tidligere lærte du å bli kvitt tallet foran $x$ . Nå skal du lære å bli kvitt tallet som $x$ er delt på. Det er viktig å tenke på at å gange og dele er motsatte regneoperasjoner. Det gangingen gjør, vil delingen omgjøre.

Regel

Å bli kvitt tallet som $x$ er delt på

Når du har en $x$ delt på et tall, må du gange med akkurat det tallet på begge sider av likningen for å få $x$ alene.

Ved multiplikasjon i likninger må du multiplisere begge sider av likningen med samme tall. Her er en oppskrift som hjelper deg.

Regel

Oppskrift

1.: Flytt alle leddene som bare består av tall, over på én side. Husk å bytte fortegn.
2.: Flytt alle leddene med $x$ til den siden du ikke har satt talleddene på. Husk å bytte fortegn.
3.: Trekk sammen på begge sider.
4.: Multipliser begge sider med det tallet som $x$ er delt på.

Eksempel 1

Løs $\frac{x}{2} + 3 = 5$ for $x$

\begin{array}{c} \frac{x}{2} + 3 & = 5 \\ \frac{x}{2} & = 5 - 3 \\ \frac{x}{2} & = 2 \\ 2 \cdot \frac{x}{2} & = 2 \cdot 2 \\ 2 \cdot \frac{x}{2} & = 2 \cdot 2 \\ x & = 4 \end{array}

Eksempel 2

Løs $\frac{2 x}{3} + 2 = - \frac{2 x}{3} - 5$ for $x$

\begin{array}{c} \frac{2 x}{3} + 2 & = - \frac{2 x}{3} - 5 \\ \frac{2 x}{3} + \frac{2 x}{3} & = - 5 - 2 \\ \frac{2 x + 2 x}{3} & = - 7 \\ 3 \cdot \frac{4 x}{3} & = - 7 \cdot 3 \\ 3 \frac{4 x}{3} & = - 21 \\ 4 x & = - 21 \\ \frac{4 x}{4} & = - \frac{21}{4} \\ x & = - \frac{21}{4} \end{array}

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Å bli kvitt tallet som x er delt på

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Å bli kvitt tallet som $x$ er delt på