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14x+100=5x
Multiply both sides of the equation by 10, the least common multiple of 5,2.
14x+100-5x=0
Subtract 5x from both sides.
9x+100=0
Combine 14x and -5x to get 9x.
9x=-100
Subtract 100 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-100}{9}
Divide both sides by 9.
x=-\frac{100}{9}
Fraction \frac{-100}{9} can be rewritten as -\frac{100}{9} by extracting the negative sign.