Solve 5-3x/4<2(x+2)

$$\frac { 5 - 3 x } { 4 } < 2 ( x + 2 )$$

Solve for x

$$x>-1$$

Solution Steps

Multiply both sides of the equation by 4. Since 4 is positive, the inequality direction remains the same.

$$5-3x<8\left(x+2\right)$$

Use the distributive property to multiply 8 by x+2.

$$5-3x<8x+16$$

Subtract 8x from both sides.

$$5-3x-8x<16$$

Combine -3x and -8x to get -11x.

$$5-11x<16$$

Subtract 5 from both sides.

$$-11x<16-5$$

Subtract 5 from 16 to get 11.

$$-11x<11$$

Divide both sides by -11. Since -11 is negative, the inequality direction is changed.

$$x>\frac{11}{-11}$$

Divide 11 by -11 to get -1.

$$x>-1$$