Solve for x 5x-2+x=9+3x+10

$5 x - 2 + x = 9 + 3 x + 10$

Add $5 x$ and $x$ .

$6 x - 2 = 9 + 3 x + 10$

Add $9$ and $10$ .

$6 x - 2 = 3 x + 19$

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

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

$6 x - 2 - 3 x = 19$

Subtract $3 x$ from $6 x$ .

$3 x - 2 = 19$

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

Add $2$ to both sides of the equation.

$3 x = 19 + 2$

Add $19$ and $2$ .

$3 x = 21$

Divide each term in $3 x = 21$ by $3$ and simplify.

Divide each term in $3 x = 21$ by $3$ .

$\frac{3 x}{3} = \frac{21}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{21}{3}$

Divide $x$ by $1$ .

$x = \frac{21}{3}$

Simplify the right side.

Divide $21$ by $3$ .

$x = 7$