Solve -3x+-2(1-x)=2x+-1(1-x)

$$-3x+-2(1-x)=2x+-1(1-x)$$

Solve for x

$$x=-\frac{1}{4}=-0.25$$

Steps for Solving Linear Equation

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

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

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

$$-x-2=2x-\left(1-x\right)$$

To find the opposite of 1-x, find the opposite of each term.

$$-x-2=2x-1-\left(-x\right)$$

The opposite of -x is x.

$$-x-2=2x-1+x$$

Combine 2x and x to get 3x.

$$-x-2=3x-1$$

Subtract 3x from both sides.

$$-x-2-3x=-1$$

Combine -x and -3x to get -4x.

$$-4x-2=-1$$

Add 2 to both sides.

$$-4x=-1+2$$

Add -1 and 2 to get 1.

$$-4x=1$$

Divide both sides by -4.

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

Fraction \frac{1}{-4} can be rewritten as -\frac{1}{4} by extracting the negative sign.

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