Solve for x -3(x+15)+4-5x=2+10x-7

$- 3 (x + 15) + 4 - 5 x = 2 + 10 x - 7$

Step 1

Simplify $- 3 (x + 15) + 4 - 5 x$ .

Simplify each term.

Apply the distributive property.

$- 3 x - 3 \cdot 15 + 4 - 5 x = 2 + 10 x - 7$

Multiply $- 3$ by $15$ .

$- 3 x - 45 + 4 - 5 x = 2 + 10 x - 7$

Simplify by adding terms.

Subtract $5 x$ from $- 3 x$ .

$- 8 x - 45 + 4 = 2 + 10 x - 7$

Add $- 45$ and $4$ .

$- 8 x - 41 = 2 + 10 x - 7$

Step 2

Subtract $7$ from $2$ .

$- 8 x - 41 = 10 x - 5$

Step 3

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

Subtract $10 x$ from both sides of the equation.

$- 8 x - 41 - 10 x = - 5$

Subtract $10 x$ from $- 8 x$ .

$- 18 x - 41 = - 5$

Step 4

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

Add $41$ to both sides of the equation.

$- 18 x = - 5 + 41$

Add $- 5$ and $41$ .

$- 18 x = 36$

Step 5

Divide each term in $- 18 x = 36$ by $- 18$ and simplify.

Divide each term in $- 18 x = 36$ by $- 18$ .

$\frac{- 18 x}{- 18} = \frac{36}{- 18}$

Simplify the left side.

Cancel the common factor of $- 18$ .

Cancel the common factor.

$\frac{- 18 x}{- 18} = \frac{36}{- 18}$

Divide $x$ by $1$ .

$x = \frac{36}{- 18}$

Simplify the right side.

Divide $36$ by $- 18$ .

$x = - 2$