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

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

Solve for x

$$x=4$$

Steps for Solving Linear Equation

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

$$2-2x-3=3\left(x-3\right)-4-2x$$

Subtract 3 from 2 to get -1.

$$-1-2x=3\left(x-3\right)-4-2x$$

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

$$-1-2x=3x-9-4-2x$$

Subtract 4 from -9 to get -13.

$$-1-2x=3x-13-2x$$

Combine 3x and -2x to get x.

$$-1-2x=x-13$$

Subtract x from both sides.

$$-1-2x-x=-13$$

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

$$-1-3x=-13$$

Add 1 to both sides.

$$-3x=-13+1$$

Add -13 and 1 to get -12.

$$-3x=-12$$

Divide both sides by -3.

$$x=\frac{-12}{-3}$$

Divide -12 by -3 to get 4.

$$x=4$$