Solve 276>-6(7x-1)-3x

$$276 > - 6 ( 7 x - 1 ) - 3 x$$

Solve for x

$$x>-6$$

Solution Steps

Use the distributive property to multiply -6 by 7x-1.

$$276>-42x+6-3x$$

Combine -42x and -3x to get -45x.

$$276>-45x+6$$

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

$$-45x+6<276$$

Subtract 6 from both sides.

$$-45x<276-6$$

Subtract 6 from 276 to get 270.

$$-45x<270$$

Divide both sides by -45. Since -45 is negative, the inequality direction is changed.

$$x>\frac{270}{-45}$$

Divide 270 by -45 to get -6.

$$x>-6$$