Solve -4(3x-2)-x=-11(x-1)

$$- 4 ( 3 x - 2 ) - x = - 11 ( x - 1 )$$

Solve for x

$$x = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply -4 by 3x-2.

$$-12x+8-x=-11\left(x-1\right)$$

Combine -12x and -x to get -13x.

$$-13x+8=-11\left(x-1\right)$$

Use the distributive property to multiply -11 by x-1.

$$-13x+8=-11x+11$$

Add 11x to both sides.

$$-13x+8+11x=11$$

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

$$-2x+8=11$$

Subtract 8 from both sides.

$$-2x=11-8$$

Subtract 8 from 11 to get 3.

$$-2x=3$$

Divide both sides by -2.

$$x=\frac{3}{-2}$$

Fraction \frac{3}{-2} can be rewritten as -\frac{3}{2} by extracting the negative sign.

$$x=-\frac{3}{2}$$