Solve 9-(2x+3)=3*(x+8)

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

Solve for x

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

Steps for Solving Linear Equation

To find the opposite of 2x+3, find the opposite of each term.

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

Subtract 3 from 9 to get 6.

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

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

$$6-2x=3x+24$$

Subtract 3x from both sides.

$$6-2x-3x=24$$

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

$$6-5x=24$$

Subtract 6 from both sides.

$$-5x=24-6$$

Subtract 6 from 24 to get 18.

$$-5x=18$$

Divide both sides by -5.

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

Fraction \frac{18}{-5} can be rewritten as -\frac{18}{5} by extracting the negative sign.

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