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\frac{5}{2}x+\frac{3}{2}x+30=x
Combine \frac{x}{4} and \frac{9}{4}x to get \frac{5}{2}x.
4x+30=x
Combine \frac{5}{2}x and \frac{3}{2}x to get 4x.
4x+30-x=0
Subtract x from both sides.
3x+30=0
Combine 4x and -x to get 3x.
3x=-30
Subtract 30 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-30}{3}
Divide both sides by 3.
x=-10
Divide -30 by 3 to get -10.