Lösung 2.2:1d

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Move \displaystyle x to the left-hand side by subtracting \displaystyle 2x from both sides,


\displaystyle 5x+7-2x=2x-6-2x


which gives


\displaystyle 3x+7=-6


Subtract \displaystyle 7 from both sides,


\displaystyle 3x+7-7=-6-7


so that the term \displaystyle 3x alone remains on the left-hand side


\displaystyle 3x=-13


Then, divide both sides by \displaystyle 3


\displaystyle \frac{3x}{3}=-\frac{13}{3}


to get x:


\displaystyle x=-\frac{13}{3}