Solve for x 5(1+3x)-9=4(3x-3)

$5 (1 + 3 x) - 9 = 4 (3 x - 3)$

Step 1

Simplify $5 (1 + 3 x) - 9$ .

Simplify each term.

Apply the distributive property.

$5 \cdot 1 + 5 (3 x) - 9 = 4 (3 x - 3)$

Multiply $5$ by $1$ .

$5 + 5 (3 x) - 9 = 4 (3 x - 3)$

Multiply $3$ by $5$ .

$5 + 15 x - 9 = 4 (3 x - 3)$

Subtract $9$ from $5$ .

$15 x - 4 = 4 (3 x - 3)$

Step 2

Simplify $4 (3 x - 3)$ .

Apply the distributive property.

$15 x - 4 = 4 (3 x) + 4 \cdot - 3$

Multiply.

Multiply $3$ by $4$ .

$15 x - 4 = 12 x + 4 \cdot - 3$

Multiply $4$ by $- 3$ .

$15 x - 4 = 12 x - 12$

Step 3

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

Subtract $12 x$ from both sides of the equation.

$15 x - 4 - 12 x = - 12$

Subtract $12 x$ from $15 x$ .

$3 x - 4 = - 12$

Step 4

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

Add $4$ to both sides of the equation.

$3 x = - 12 + 4$

Add $- 12$ and $4$ .

$3 x = - 8$

Step 5

Divide each term in $3 x = - 8$ by $3$ and simplify.

Divide each term in $3 x = - 8$ by $3$ .

$\frac{3 x}{3} = \frac{- 8}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{- 8}{3}$

Divide $x$ by $1$ .

$x = \frac{- 8}{3}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{8}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{8}{3}$

Decimal Form:

$x = - 2.\overline{6}$

Mixed Number Form:

$x = - 2 \frac{2}{3}$

Solve for x 5(1+3x)-9=4(3x-3)

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