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Solve for x_10
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-7x=2x_{10}-8
Combine -3x and -4x to get -7x.
\frac{-7x}{-7}=\frac{2x_{10}-8}{-7}
Divide both sides by -7.
x=\frac{2x_{10}-8}{-7}
Dividing by -7 undoes the multiplication by -7.
x=\frac{8-2x_{10}}{7}
Divide -8+2x_{10} by -7.
-7x=2x_{10}-8
Combine -3x and -4x to get -7x.
2x_{10}-8=-7x
Swap sides so that all variable terms are on the left hand side.
2x_{10}=-7x+8
Add 8 to both sides.
2x_{10}=8-7x
The equation is in standard form.
\frac{2x_{10}}{2}=\frac{8-7x}{2}
Divide both sides by 2.
x_{10}=\frac{8-7x}{2}
Dividing by 2 undoes the multiplication by 2.
x_{10}=-\frac{7x}{2}+4
Divide -7x+8 by 2.