Solve -2x+11>3(x-5)+8x

$$- 2 x + 11 > 3 ( x - 5 ) + 8 x$$

Solve for x

$$x<2$$

Solution Steps

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

$$-2x+11>3x-15+8x$$

Combine 3x and 8x to get 11x.

$$-2x+11>11x-15$$

Subtract 11x from both sides.

$$-2x+11-11x>-15$$

Combine -2x and -11x to get -13x.

$$-13x+11>-15$$

Subtract 11 from both sides.

$$-13x>-15-11$$

Subtract 11 from -15 to get -26.

$$-13x>-26$$

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

$$x<\frac{-26}{-13}$$

Divide -26 by -13 to get 2.

$$x<2$$