Solve for x 5x-3+x=2x+9

$5 x - 3 + x = 2 x + 9$

Add $5 x$ and $x$ .

$6 x - 3 = 2 x + 9$

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

Subtract $2 x$ from both sides of the equation.

$6 x - 3 - 2 x = 9$

Subtract $2 x$ from $6 x$ .

$4 x - 3 = 9$

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

Add $3$ to both sides of the equation.

$4 x = 9 + 3$

Add $9$ and $3$ .

$4 x = 12$

Divide each term in $4 x = 12$ by $4$ and simplify.

Divide each term in $4 x = 12$ by $4$ .

$\frac{4 x}{4} = \frac{12}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{12}{4}$

Divide $x$ by $1$ .

$x = \frac{12}{4}$

Simplify the right side.

Divide $12$ by $4$ .

$x = 3$