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\frac{4x}{9}-5-x=0
Subtract x from both sides.
\frac{4x}{9}-x=5
Add 5 to both sides. Anything plus zero gives itself.
4x-9x=45
Multiply both sides of the equation by 9.
-5x=45
Combine 4x and -9x to get -5x.
x=\frac{45}{-5}
Divide both sides by -5.
x=-9
Divide 45 by -5 to get -9.