Solve for x 10x-15x+5=-45+20

$10 x - 15 x + 5 = - 45 + 20$

Step 1

Subtract $15 x$ from $10 x$ .

$- 5 x + 5 = - 45 + 20$

Step 2

Add $- 45$ and $20$ .

$- 5 x + 5 = - 25$

Step 3

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

Subtract $5$ from both sides of the equation.

$- 5 x = - 25 - 5$

Subtract $5$ from $- 25$ .

$- 5 x = - 30$

Step 4

Divide each term in $- 5 x = - 30$ by $- 5$ and simplify.

Divide each term in $- 5 x = - 30$ by $- 5$ .

$\frac{- 5 x}{- 5} = \frac{- 30}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 x}{- 5} = \frac{- 30}{- 5}$

Divide $x$ by $1$ .

$x = \frac{- 30}{- 5}$

Simplify the right side.

Divide $- 30$ by $- 5$ .

$x = 6$