+14903 Solve this first-degree equation in one unknown, while writing all stages of the calculation
The equation : x-(1-x) √ 3=-5
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\(x-(1-x) \sqrt{ 3}=-5\) | multiply √3
\(x-(\sqrt{3}-x\sqrt{3})=-5\) | (√3-x√3) multiply (-1)
\(x-\sqrt{3}+x\sqrt{3}=-5\) | + √3
\(x+x\sqrt{3}=-5+\sqrt{3}\) | x in front of the bracket
\(x(1+\sqrt{3})=-5+\sqrt{3}\) | divide by the bracket
\(x=\frac{-5+\sqrt{3}}{1+\sqrt{3}}\cdot\frac{1-\sqrt{3}}{1-\sqrt{3}}\) | multiply \(\frac{1-\sqrt{3}}{1-\sqrt{3}}\)
\(x=\frac{-5+5 \sqrt{3}+\sqrt{3}-3}{1-3}\) | add
\(x= \frac{-8+6\sqrt{3}}{-2}\) | divide -2
\(x=4-3\sqrt{3}\)
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