Solve 4(-x-1)+5x-2=-2x-x

$$4(-x-1)+5x-2=-2x-x$$

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 -x-1.

$$4\left(-x\right)-4+5x-2=-2x-x$$

Subtract 2 from -4 to get -6.

$$4\left(-x\right)-6+5x=-2x-x$$

Combine -2x and -x to get -3x.

$$4\left(-x\right)-6+5x=-3x$$

Add 3x to both sides.

$$4\left(-x\right)-6+5x+3x=0$$

Combine 5x and 3x to get 8x.

$$4\left(-x\right)-6+8x=0$$

Add 6 to both sides. Anything plus zero gives itself.

$$4\left(-x\right)+8x=6$$

Multiply 4 and -1 to get -4.

$$-4x+8x=6$$

Combine -4x and 8x to get 4x.

$$4x=6$$

Divide both sides by 4.

$$x=\frac{6}{4}$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

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