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23.4x-3=2x-2
Use the distributive property to multiply 2 by x-1.
23.4x-3-2x=-2
Subtract 2x from both sides.
21.4x-3=-2
Combine 23.4x and -2x to get 21.4x.
21.4x=-2+3
Add 3 to both sides.
21.4x=1
Add -2 and 3 to get 1.
x=\frac{1}{21.4}
Divide both sides by 21.4.
x=\frac{10}{214}
Expand \frac{1}{21.4} by multiplying both numerator and the denominator by 10.
x=\frac{5}{107}
Reduce the fraction \frac{10}{214} to lowest terms by extracting and canceling out 2.