Solve -39.2<1.2(6-4.3x)-6.44x

$$- 39.2 < 1.2 ( 6 - 4.3 x ) - 6.44 x$$

Solve for x

$$x<4$$

Solution Steps

Use the distributive property to multiply 1.2 by 6-4.3x.

$$-39.2<7.2-5.16x-6.44x$$

Combine -5.16x and -6.44x to get -11.6x.

$$-39.2<7.2-11.6x$$

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

$$7.2-11.6x>-39.2$$

Subtract 7.2 from both sides.

$$-11.6x>-39.2-7.2$$

Subtract 7.2 from -39.2 to get -46.4.

$$-11.6x>-46.4$$

Divide both sides by -11.6. Since -11.6 is negative, the inequality direction is changed.

$$x<\frac{-46.4}{-11.6}$$

Expand \frac{-46.4}{-11.6} by multiplying both numerator and the denominator by 10.

$$x<\frac{-464}{-116}$$

Divide -464 by -116 to get 4.

$$x<4$$