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10x+8=7+5x
Multiply both sides of the equation by 20, the least common multiple of 2,5,20,4.
10x+8-5x=7
Subtract 5x from both sides.
5x+8=7
Combine 10x and -5x to get 5x.
5x=7-8
Subtract 8 from both sides.
5x=-1
Subtract 8 from 7 to get -1.
x=\frac{-1}{5}
Divide both sides by 5.
x=-\frac{1}{5}
Fraction \frac{-1}{5} can be rewritten as -\frac{1}{5} by extracting the negative sign.