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

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

Solve for x

$$x=6$$

Steps for Solving Linear Equation

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

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

Combine 3x and -2x to get x.

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

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

$$x+2=2-12+3x$$

Subtract 12 from 2 to get -10.

$$x+2=-10+3x$$

Subtract 3x from both sides.

$$x+2-3x=-10$$

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

$$-2x+2=-10$$

Subtract 2 from both sides.

$$-2x=-10-2$$

Subtract 2 from -10 to get -12.

$$-2x=-12$$

Divide both sides by -2.

$$x=\frac{-12}{-2}$$

Divide -12 by -2 to get 6.

$$x=6$$