Solve for x 5x=3*(x+4)

$5 x = 3 \cdot (x + 4)$

Simplify $3 \cdot (x + 4)$ .

Apply the distributive property.

$5 x = 3 x + 3 \cdot 4$

Multiply $3$ by $4$ .

$5 x = 3 x + 12$

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

Subtract $3 x$ from both sides of the equation.

$5 x - 3 x = 12$

Subtract $3 x$ from $5 x$ .

$2 x = 12$

Divide each term in $2 x = 12$ by $2$ and simplify.

Divide each term in $2 x = 12$ by $2$ .

$\frac{2 x}{2} = \frac{12}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{12}{2}$

Divide $x$ by $1$ .

$x = \frac{12}{2}$

Simplify the right side.

Divide $12$ by $2$ .

$x = 6$