Solve -x-1/3-3(x-1)-8=-1/2

$$- \frac { x - 1 } { 3 } - 3 ( x - 1 ) - 8 = - \frac { 1 } { 2 }$$

Solve for x

$$x = -\frac{5}{4} = -1\frac{1}{4} = -1.25$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2.

$$-2\left(x-1\right)-18\left(x-1\right)-48=-3$$

Use the distributive property to multiply -2 by x-1.

$$-2x+2-18\left(x-1\right)-48=-3$$

Use the distributive property to multiply -18 by x-1.

$$-2x+2-18x+18-48=-3$$

Combine -2x and -18x to get -20x.

$$-20x+2+18-48=-3$$

Add 2 and 18 to get 20.

$$-20x+20-48=-3$$

Subtract 48 from 20 to get -28.

$$-20x-28=-3$$

Add 28 to both sides.

$$-20x=-3+28$$

Add -3 and 28 to get 25.

$$-20x=25$$

Divide both sides by -20.

$$x=\frac{25}{-20}$$

Reduce the fraction \frac{25}{-20} to lowest terms by extracting and canceling out 5.

$$x=-\frac{5}{4}$$