Solve 3(x+3)-2(x+3)=8(x-3)

$$3 ( x + 3 ) - 2 ( x + 3 ) = 8 ( x - 3 )$$

Solve for x

$$x = \frac{27}{7} = 3\frac{6}{7} \approx 3.857142857$$

Steps for Solving Linear Equation

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

$$3x+9-2\left(x+3\right)=8\left(x-3\right)$$

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

$$3x+9-2x-6=8\left(x-3\right)$$

Combine 3x and -2x to get x.

$$x+9-6=8\left(x-3\right)$$

Subtract 6 from 9 to get 3.

$$x+3=8\left(x-3\right)$$

Use the distributive property to multiply 8 by x-3.

$$x+3=8x-24$$

Subtract 8x from both sides.

$$x+3-8x=-24$$

Combine x and -8x to get -7x.

$$-7x+3=-24$$

Subtract 3 from both sides.

$$-7x=-24-3$$

Subtract 3 from -24 to get -27.

$$-7x=-27$$

Divide both sides by -7.

$$x=\frac{-27}{-7}$$

Fraction \frac{-27}{-7} can be simplified to \frac{27}{7} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{27}{7}$$