Solve for t
t=-\frac{5x}{6}+\frac{1}{3}
Solve for x
x=\frac{2-6t}{5}
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30x+30t=5x+10
Swap sides so that all variable terms are on the left hand side.
30t=5x+10-30x
Subtract 30x from both sides.
30t=-25x+10
Combine 5x and -30x to get -25x.
30t=10-25x
The equation is in standard form.
\frac{30t}{30}=\frac{10-25x}{30}
Divide both sides by 30.
t=\frac{10-25x}{30}
Dividing by 30 undoes the multiplication by 30.
t=-\frac{5x}{6}+\frac{1}{3}
Divide -25x+10 by 30.
5x+10-30x=30t
Subtract 30x from both sides.
-25x+10=30t
Combine 5x and -30x to get -25x.
-25x=30t-10
Subtract 10 from both sides.
\frac{-25x}{-25}=\frac{30t-10}{-25}
Divide both sides by -25.
x=\frac{30t-10}{-25}
Dividing by -25 undoes the multiplication by -25.
x=\frac{2-6t}{5}
Divide 30t-10 by -25.
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