Solve -2x-9=3(x-9)

$$- 2 x - 9 = 3 ( x - 9 )$$

Solve for x

$$x = \frac{18}{5} = 3\frac{3}{5} = 3.6$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x-9.

$$-2x-9=3x-27$$

Subtract 3x from both sides.

$$-2x-9-3x=-27$$

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

$$-5x-9=-27$$

Add 9 to both sides.

$$-5x=-27+9$$

Add -27 and 9 to get -18.

$$-5x=-18$$

Divide both sides by -5.

$$x=\frac{-18}{-5}$$

Fraction \frac{-18}{-5} can be simplified to \frac{18}{5} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{18}{5}$$