Solve 3(x-3)-5(x-6)=12

$$3 ( x - 3 ) - 5 ( x - 6 ) = 12$$

Solve for x

$$x = \frac{9}{2} = 4\frac{1}{2} = 4.5$$

Steps for Solving Linear Equation

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

$$3x-9-5\left(x-6\right)=12$$

Use the distributive property to multiply -5 by x-6.

$$3x-9-5x+30=12$$

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

$$-2x-9+30=12$$

Add -9 and 30 to get 21.

$$-2x+21=12$$

Subtract 21 from both sides.

$$-2x=12-21$$

Subtract 21 from 12 to get -9.

$$-2x=-9$$

Divide both sides by -2.

$$x=\frac{-9}{-2}$$

Fraction \frac{-9}{-2} can be simplified to \frac{9}{2} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{9}{2}$$