Solve 0.5x-7<2x-50

$$0.5x-7 < 2x-50$$

Solve for x

$$x>\frac{86}{3}$$

Solution Steps

Subtract 2x from both sides.

$$0.5x-7-2x<-50$$

Combine 0.5x and -2x to get -1.5x.

$$-1.5x-7<-50$$

Add 7 to both sides.

$$-1.5x<-50+7$$

Add -50 and 7 to get -43.

$$-1.5x<-43$$

Divide both sides by -1.5. Since -1.5 is negative, the inequality direction is changed.

$$x>\frac{-43}{-1.5}$$

Expand \frac{-43}{-1.5} by multiplying both numerator and the denominator by 10.

$$x>\frac{-430}{-15}$$

Reduce the fraction \frac{-430}{-15} to lowest terms by extracting and canceling out -5.

$$x>\frac{86}{3}$$