Solve 3(x-2)+4=-6(x-3)

$$3 ( x - 2 ) + 4 = - 6 ( x - 3 )$$

Solve for x

$$x = \frac{20}{9} = 2\frac{2}{9} \approx 2.222222222$$

Steps for Solving Linear Equation

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

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

Add -6 and 4 to get -2.

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

Use the distributive property to multiply -6 by x-3.

$$3x-2=-6x+18$$

Add 6x to both sides.

$$3x-2+6x=18$$

Combine 3x and 6x to get 9x.

$$9x-2=18$$

Add 2 to both sides.

$$9x=18+2$$

Add 18 and 2 to get 20.

$$9x=20$$

Divide both sides by 9.

$$x=\frac{20}{9}$$