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9\times 5=5\left(x-32\right)
Multiply both sides of the equation by 45, the least common multiple of 5,9.
45=5\left(x-32\right)
Multiply 9 and 5 to get 45.
45=5x-160
Use the distributive property to multiply 5 by x-32.
5x-160=45
Swap sides so that all variable terms are on the left hand side.
5x=45+160
Add 160 to both sides.
5x=205
Add 45 and 160 to get 205.
x=\frac{205}{5}
Divide both sides by 5.
x=41
Divide 205 by 5 to get 41.