Solve for x -10=-0.8x+1.8(-4x+1)-7

$- 10 = - 0.8 x + 1.8 (- 4 x + 1) - 7$

Rewrite the equation as $- 0.8 x + 1.8 (- 4 x + 1) - 7 = - 10$ .

$- 0.8 x + 1.8 (- 4 x + 1) - 7 = - 10$

Simplify $- 0.8 x + 1.8 (- 4 x + 1) - 7$ .

Simplify each term.

Apply the distributive property.

$- 0.8 x + 1.8 (- 4 x) + 1.8 \cdot 1 - 7 = - 10$

Multiply $- 4$ by $1.8$ .

$- 0.8 x - 7.2 x + 1.8 \cdot 1 - 7 = - 10$

Multiply $1.8$ by $1$ .

$- 0.8 x - 7.2 x + 1.8 - 7 = - 10$

Simplify by adding terms.

Subtract $7.2 x$ from $- 0.8 x$ .

$- 8 x + 1.8 - 7 = - 10$

Subtract $7$ from $1.8$ .

$- 8 x - 5.2 = - 10$

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

Add $5.2$ to both sides of the equation.

$- 8 x = - 10 + 5.2$

Add $- 10$ and $5.2$ .

$- 8 x = - 4.8$

Divide each term in $- 8 x = - 4.8$ by $- 8$ and simplify.

Divide each term in $- 8 x = - 4.8$ by $- 8$ .

$\frac{- 8 x}{- 8} = \frac{- 4.8}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 x}{- 8} = \frac{- 4.8}{- 8}$

Divide $x$ by $1$ .

$x = \frac{- 4.8}{- 8}$

Simplify the right side.

Divide $- 4.8$ by $- 8$ .

$x = 0.6$