Solve 0.2x-7.8<16.9+0.7x

$$0.2 x - 7.8 < 16.9 + 0.7 x$$

Solve for x

$$x>-49.4$$

Solution Steps

Subtract 0.7x from both sides.

$$0.2x-7.8-0.7x<16.9$$

Combine 0.2x and -0.7x to get -0.5x.

$$-0.5x-7.8<16.9$$

Add 7.8 to both sides.

$$-0.5x<16.9+7.8$$

Add 16.9 and 7.8 to get 24.7.

$$-0.5x<24.7$$

Divide both sides by -0.5. Since -0.5 is negative, the inequality direction is changed.

$$x>\frac{24.7}{-0.5}$$

Expand \frac{24.7}{-0.5} by multiplying both numerator and the denominator by 10.

$$x>\frac{247}{-5}$$

Fraction \frac{247}{-5} can be rewritten as -\frac{247}{5} by extracting the negative sign.

$$x>-\frac{247}{5}$$