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16x+1=40x-2x
Multiply both sides of the equation by 4, the least common multiple of 4,2.
16x+1=38x
Combine 40x and -2x to get 38x.
16x+1-38x=0
Subtract 38x from both sides.
-22x+1=0
Combine 16x and -38x to get -22x.
-22x=-1
Subtract 1 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-1}{-22}
Divide both sides by -22.
x=\frac{1}{22}
Fraction \frac{-1}{-22} can be simplified to \frac{1}{22} by removing the negative sign from both the numerator and the denominator.