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4\left(x+5\right)=9x
Multiply both sides of the equation by 36, the least common multiple of 9,4.
4x+20=9x
Use the distributive property to multiply 4 by x+5.
4x+20-9x=0
Subtract 9x from both sides.
-5x+20=0
Combine 4x and -9x to get -5x.
-5x=-20
Subtract 20 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-20}{-5}
Divide both sides by -5.
x=4
Divide -20 by -5 to get 4.