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0.5x-4-3x=2
Subtract 3x from both sides.
-2.5x-4=2
Combine 0.5x and -3x to get -2.5x.
-2.5x=2+4
Add 4 to both sides.
-2.5x=6
Add 2 and 4 to get 6.
x=\frac{6}{-2.5}
Divide both sides by -2.5.
x=\frac{60}{-25}
Expand \frac{6}{-2.5} by multiplying both numerator and the denominator by 10.
x=-\frac{12}{5}
Reduce the fraction \frac{60}{-25} to lowest terms by extracting and canceling out 5.