Solve for x 8x+10-2x=4(x-5)

$8 x + 10 - 2 x = 4 (x - 5)$

Step 1

Subtract $2 x$ from $8 x$ .

$6 x + 10 = 4 (x - 5)$

Step 2

Simplify $4 (x - 5)$ .

Apply the distributive property.

$6 x + 10 = 4 x + 4 \cdot - 5$

Multiply $4$ by $- 5$ .

$6 x + 10 = 4 x - 20$

Step 3

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

Subtract $4 x$ from both sides of the equation.

$6 x + 10 - 4 x = - 20$

Subtract $4 x$ from $6 x$ .

$2 x + 10 = - 20$

Step 4

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

Subtract $10$ from both sides of the equation.

$2 x = - 20 - 10$

Subtract $10$ from $- 20$ .

$2 x = - 30$

Step 5

Divide each term in $2 x = - 30$ by $2$ and simplify.

Divide each term in $2 x = - 30$ by $2$ .

$\frac{2 x}{2} = \frac{- 30}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{- 30}{2}$

Divide $x$ by $1$ .

$x = \frac{- 30}{2}$

Simplify the right side.

Divide $- 30$ by $2$ .

$x = - 15$