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9\left(37-0\right)=5\left(x-32\right)
Multiply both sides of the equation by 45, the least common multiple of 5,9.
9\times 37=5\left(x-32\right)
Subtract 0 from 37 to get 37.
333=5\left(x-32\right)
Multiply 9 and 37 to get 333.
333=5x-160
Use the distributive property to multiply 5 by x-32.
5x-160=333
Swap sides so that all variable terms are on the left hand side.
5x=333+160
Add 160 to both sides.
5x=493
Add 333 and 160 to get 493.
x=\frac{493}{5}
Divide both sides by 5.