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Solve for x_89
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5+10x=7x_{89}
Multiply 5 and 2 to get 10.
10x=7x_{89}-5
Subtract 5 from both sides.
\frac{10x}{10}=\frac{7x_{89}-5}{10}
Divide both sides by 10.
x=\frac{7x_{89}-5}{10}
Dividing by 10 undoes the multiplication by 10.
x=\frac{7x_{89}}{10}-\frac{1}{2}
Divide 7x_{89}-5 by 10.
5+10x=7x_{89}
Multiply 5 and 2 to get 10.
7x_{89}=5+10x
Swap sides so that all variable terms are on the left hand side.
7x_{89}=10x+5
The equation is in standard form.
\frac{7x_{89}}{7}=\frac{10x+5}{7}
Divide both sides by 7.
x_{89}=\frac{10x+5}{7}
Dividing by 7 undoes the multiplication by 7.