Solve for x 3(5x+10)+10=6x-(x+10)

$3 (5 x + 10) + 10 = 6 x - (x + 10)$

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$6 x - (x + 10) = 3 (5 x + 10) + 10$

Simplify $6 x - (x + 10)$ .

Simplify each term.

Apply the distributive property.

$6 x - x - 1 \cdot 10 = 3 (5 x + 10) + 10$

Multiply $- 1$ by $10$ .

$6 x - x - 10 = 3 (5 x + 10) + 10$

Subtract $x$ from $6 x$ .

$5 x - 10 = 3 (5 x + 10) + 10$

Simplify $3 (5 x + 10) + 10$ .

Simplify each term.

Apply the distributive property.

$5 x - 10 = 3 (5 x) + 3 \cdot 10 + 10$

Multiply $5$ by $3$ .

$5 x - 10 = 15 x + 3 \cdot 10 + 10$

Multiply $3$ by $10$ .

$5 x - 10 = 15 x + 30 + 10$

Add $30$ and $10$ .

$5 x - 10 = 15 x + 40$

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

Subtract $15 x$ from both sides of the equation.

$5 x - 10 - 15 x = 40$

Subtract $15 x$ from $5 x$ .

$- 10 x - 10 = 40$

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

Add $10$ to both sides of the equation.

$- 10 x = 40 + 10$

Add $40$ and $10$ .

$- 10 x = 50$

Divide each term in $- 10 x = 50$ by $- 10$ and simplify.

Divide each term in $- 10 x = 50$ by $- 10$ .

$\frac{- 10 x}{- 10} = \frac{50}{- 10}$

Simplify the left side.

Cancel the common factor of $- 10$ .

Cancel the common factor.

$\frac{- 10 x}{- 10} = \frac{50}{- 10}$

Divide $x$ by $1$ .

$x = \frac{50}{- 10}$

Simplify the right side.

Divide $50$ by $- 10$ .

$x = - 5$