Solve for x 2x-3+x-35=2-9x-4

$2 x - 3 + x - 35 = 2 - 9 x - 4$

Simplify $2 x - 3 + x - 35$ .

Add $2 x$ and $x$ .

$3 x - 3 - 35 = 2 - 9 x - 4$

Subtract $35$ from $- 3$ .

$3 x - 38 = 2 - 9 x - 4$

Subtract $4$ from $2$ .

$3 x - 38 = - 9 x - 2$

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

Add $9 x$ to both sides of the equation.

$3 x - 38 + 9 x = - 2$

Add $3 x$ and $9 x$ .

$12 x - 38 = - 2$

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

Add $38$ to both sides of the equation.

$12 x = - 2 + 38$

Add $- 2$ and $38$ .

$12 x = 36$

Divide each term in $12 x = 36$ by $12$ and simplify.

Divide each term in $12 x = 36$ by $12$ .

$\frac{12 x}{12} = \frac{36}{12}$

Simplify the left side.

Cancel the common factor of $12$ .

Cancel the common factor.

$\frac{12 x}{12} = \frac{36}{12}$

Divide $x$ by $1$ .

$x = \frac{36}{12}$

Simplify the right side.

Divide $36$ by $12$ .

$x = 3$