Solve for x -10x+1+7x=37

$- 10 x + 1 + 7 x = 37$

Step 1

Add $- 10 x$ and $7 x$ .

$- 3 x + 1 = 37$

Step 2

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

Subtract $1$ from both sides of the equation.

$- 3 x = 37 - 1$

Subtract $1$ from $37$ .

$- 3 x = 36$

Step 3

Divide each term in $- 3 x = 36$ by $- 3$ and simplify.

Divide each term in $- 3 x = 36$ by $- 3$ .

$\frac{- 3 x}{- 3} = \frac{36}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} = \frac{36}{- 3}$

Divide $x$ by $1$ .

$x = \frac{36}{- 3}$

Simplify the right side.

Divide $36$ by $- 3$ .

$x = - 12$