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

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

Solve for x

$$x=6$$

Steps for Solving Linear Equation

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

$$4-3x+6=x-2\left(x+1\right)$$

Add 4 and 6 to get 10.

$$10-3x=x-2\left(x+1\right)$$

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

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

Combine x and -2x to get -x.

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

Add x to both sides.

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

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

$$10-2x=-2$$

Subtract 10 from both sides.

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

Subtract 10 from -2 to get -12.

$$-2x=-12$$

Divide both sides by -2.

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

Divide -12 by -2 to get 6.

$$x=6$$