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Solve for x_2
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x_{2}x-7-2x=0
Subtract 2x from both sides.
x_{2}x-2x=7
Add 7 to both sides. Anything plus zero gives itself.
\left(x_{2}-2\right)x=7
Combine all terms containing x.
\frac{\left(x_{2}-2\right)x}{x_{2}-2}=\frac{7}{x_{2}-2}
Divide both sides by x_{2}-2.
x=\frac{7}{x_{2}-2}
Dividing by x_{2}-2 undoes the multiplication by x_{2}-2.
x_{2}x=2x+7
Add 7 to both sides.
xx_{2}=2x+7
The equation is in standard form.
\frac{xx_{2}}{x}=\frac{2x+7}{x}
Divide both sides by x.
x_{2}=\frac{2x+7}{x}
Dividing by x undoes the multiplication by x.
x_{2}=2+\frac{7}{x}
Divide 2x+7 by x.