Solve 7(3-4x)+12>5(4-3x)

$$7 ( 3 - 4 x ) + 12 > 5 ( 4 - 3 x )$$

Solve for x

$$x<1$$

Solution Steps

Use the distributive property to multiply 7 by 3-4x.

$$21-28x+12>5\left(4-3x\right)$$

Add 21 and 12 to get 33.

$$33-28x>5\left(4-3x\right)$$

Use the distributive property to multiply 5 by 4-3x.

$$33-28x>20-15x$$

Add 15x to both sides.

$$33-28x+15x>20$$

Combine -28x and 15x to get -13x.

$$33-13x>20$$

Subtract 33 from both sides.

$$-13x>20-33$$

Subtract 33 from 20 to get -13.

$$-13x>-13$$

Divide both sides by -13. Since -13 is negative, the inequality direction is changed.

$$x<\frac{-13}{-13}$$

Divide -13 by -13 to get 1.

$$x<1$$