Solve 3(2-x)-2(x-2)=5-3(x-3)

$$3 ( 2 - x ) - 2 ( x - 2 ) = 5 - 3 ( x - 3 )$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

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

$$6-3x-2\left(x-2\right)=5-3\left(x-3\right)$$

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

$$6-3x-2x+4=5-3\left(x-3\right)$$

Combine -3x and -2x to get -5x.

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

Add 6 and 4 to get 10.

$$10-5x=5-3\left(x-3\right)$$

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

$$10-5x=5-3x+9$$

Add 5 and 9 to get 14.

$$10-5x=14-3x$$

Add 3x to both sides.

$$10-5x+3x=14$$

Combine -5x and 3x to get -2x.

$$10-2x=14$$

Subtract 10 from both sides.

$$-2x=14-10$$

Subtract 10 from 14 to get 4.

$$-2x=4$$

Divide both sides by -2.

$$x=\frac{4}{-2}$$

Divide 4 by -2 to get -2.

$$x=-2$$