Solve 0.6+0.8x>-0.5+x

$$0.6+0.8x > -0.5+x$$

Solve for x

$$x<5.5$$

Solution Steps

Subtract x from both sides.

$$0.6+0.8x-x>-0.5$$

Combine 0.8x and -x to get -0.2x.

$$0.6-0.2x>-0.5$$

Subtract 0.6 from both sides.

$$-0.2x>-0.5-0.6$$

Subtract 0.6 from -0.5 to get -1.1.

$$-0.2x>-1.1$$

Divide both sides by -0.2. Since -0.2 is negative, the inequality direction is changed.

$$x<\frac{-1.1}{-0.2}$$

Expand \frac{-1.1}{-0.2} by multiplying both numerator and the denominator by 10.

$$x<\frac{-11}{-2}$$

Fraction \frac{-11}{-2} can be simplified to \frac{11}{2} by removing the negative sign from both the numerator and the denominator.

$$x<\frac{11}{2}$$