Solve for x 12-3(3+x)=12-8x

$12 - 3 (3 + x) = 12 - 8 x$

Step 1

Simplify $12 - 3 (3 + x)$ .

Simplify each term.

Apply the distributive property.

$12 - 3 \cdot 3 - 3 x = 12 - 8 x$

Multiply $- 3$ by $3$ .

$12 - 9 - 3 x = 12 - 8 x$

Subtract $9$ from $12$ .

$3 - 3 x = 12 - 8 x$

Step 2

Move all terms containing $x$ to the left side of the equation.

Add $8 x$ to both sides of the equation.

$3 - 3 x + 8 x = 12$

Add $- 3 x$ and $8 x$ .

$3 + 5 x = 12$

Step 3

Move all terms not containing $x$ to the right side of the equation.

Subtract $3$ from both sides of the equation.

$5 x = 12 - 3$

Subtract $3$ from $12$ .

$5 x = 9$

Step 4

Divide each term in $5 x = 9$ by $5$ and simplify.

Divide each term in $5 x = 9$ by $5$ .

$\frac{5 x}{5} = \frac{9}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{9}{5}$

Divide $x$ by $1$ .

$x = \frac{9}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{9}{5}$

Decimal Form:

$x = 1.8$

Mixed Number Form:

$x = 1 \frac{4}{5}$