Solve 3x-1/2-1<8x+2

$$\frac { 3 x - 1 } { 2 } - 1 < 8 x + 2$$

Solve for x

$$x>-\frac{7}{13}$$

Solution Steps

Multiply both sides of the equation by 2. Since 2 is positive, the inequality direction remains the same.

$$3x-1-2<16x+4$$

Subtract 2 from -1 to get -3.

$$3x-3<16x+4$$

Subtract 16x from both sides.

$$3x-3-16x<4$$

Combine 3x and -16x to get -13x.

$$-13x-3<4$$

Add 3 to both sides.

$$-13x<4+3$$

Add 4 and 3 to get 7.

$$-13x<7$$

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

$$x>-\frac{7}{13}$$