Solve for x 3x+30+x=10+2x+5x+2

$3 x + 30 + x = 10 + 2 x + 5 x + 2$

Add $3 x$ and $x$ .

$4 x + 30 = 10 + 2 x + 5 x + 2$

Simplify $10 + 2 x + 5 x + 2$ .

Add $10$ and $2$ .

$4 x + 30 = 2 x + 5 x + 12$

Add $2 x$ and $5 x$ .

$4 x + 30 = 7 x + 12$

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

Subtract $7 x$ from both sides of the equation.

$4 x + 30 - 7 x = 12$

Subtract $7 x$ from $4 x$ .

$- 3 x + 30 = 12$

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

Subtract $30$ from both sides of the equation.

$- 3 x = 12 - 30$

Subtract $30$ from $12$ .

$- 3 x = - 18$

Divide each term in $- 3 x = - 18$ by $- 3$ and simplify.

Divide each term in $- 3 x = - 18$ by $- 3$ .

$\frac{- 3 x}{- 3} = \frac{- 18}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} = \frac{- 18}{- 3}$

Divide $x$ by $1$ .

$x = \frac{- 18}{- 3}$

Simplify the right side.

Divide $- 18$ by $- 3$ .

$x = 6$