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5\left(x-32\right)=9\left(40-0\right)
Multiply both sides of the equation by 900, the least common multiple of 180,100.
5x-160=9\left(40-0\right)
Use the distributive property to multiply 5 by x-32.
5x-160=9\times 40
Subtract 0 from 40 to get 40.
5x-160=360
Multiply 9 and 40 to get 360.
5x=360+160
Add 160 to both sides.
5x=520
Add 360 and 160 to get 520.
x=\frac{520}{5}
Divide both sides by 5.
x=104
Divide 520 by 5 to get 104.