Solve -6(x-3)-5=3(x-9)-1

$$- 6 ( x - 3 ) - 5 = 3 ( x - 9 ) - 1$$

Solve for x

$$x = \frac{41}{9} = 4\frac{5}{9} \approx 4.555555556$$

Steps for Solving Linear Equation

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

$$-6x+18-5=3\left(x-9\right)-1$$

Subtract 5 from 18 to get 13.

$$-6x+13=3\left(x-9\right)-1$$

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

$$-6x+13=3x-27-1$$

Subtract 1 from -27 to get -28.

$$-6x+13=3x-28$$

Subtract 3x from both sides.

$$-6x+13-3x=-28$$

Combine -6x and -3x to get -9x.

$$-9x+13=-28$$

Subtract 13 from both sides.

$$-9x=-28-13$$

Subtract 13 from -28 to get -41.

$$-9x=-41$$

Divide both sides by -9.

$$x=\frac{-41}{-9}$$

Fraction \frac{-41}{-9} can be simplified to \frac{41}{9} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{41}{9}$$