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Solve for t
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5t+4=9x-8
Swap sides so that all variable terms are on the left hand side.
5t=9x-8-4
Subtract 4 from both sides.
5t=9x-12
Subtract 4 from -8 to get -12.
\frac{5t}{5}=\frac{9x-12}{5}
Divide both sides by 5.
t=\frac{9x-12}{5}
Dividing by 5 undoes the multiplication by 5.
9x=5t+4+8
Add 8 to both sides.
9x=5t+12
Add 4 and 8 to get 12.
\frac{9x}{9}=\frac{5t+12}{9}
Divide both sides by 9.
x=\frac{5t+12}{9}
Dividing by 9 undoes the multiplication by 9.
x=\frac{5t}{9}+\frac{4}{3}
Divide 5t+12 by 9.