Solve for x -(-x-6.9)+9=1.4x

$- (- x - 6.9) + 9 = 1.4 x$

Step 1

Simplify $- (- x - 6.9) + 9$ .

Simplify each term.

Apply the distributive property.

$- - x - - 6.9 + 9 = 1.4 x$

Multiply $- - x$ .

Multiply $- 1$ by $- 1$ .

$1 x - - 6.9 + 9 = 1.4 x$

Multiply $x$ by $1$ .

$x - - 6.9 + 9 = 1.4 x$

Multiply $- 1$ by $- 6.9$ .

$x + 6.9 + 9 = 1.4 x$

Add $6.9$ and $9$ .

$x + 15.9 = 1.4 x$

Step 2

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

Subtract $1.4 x$ from both sides of the equation.

$x + 15.9 - 1.4 x = 0$

Subtract $1.4 x$ from $x$ .

$- 0.4 x + 15.9 = 0$

Step 3

Subtract $15.9$ from both sides of the equation.

$- 0.4 x = - 15.9$

Step 4

Divide each term in $- 0.4 x = - 15.9$ by $- 0.4$ and simplify.

Divide each term in $- 0.4 x = - 15.9$ by $- 0.4$ .

$\frac{- 0.4 x}{- 0.4} = \frac{- 15.9}{- 0.4}$

Simplify the left side.

Cancel the common factor of $- 0.4$ .

Cancel the common factor.

$\frac{- 0.4 x}{- 0.4} = \frac{- 15.9}{- 0.4}$

Divide $x$ by $1$ .

$x = \frac{- 15.9}{- 0.4}$

Simplify the right side.

Divide $- 15.9$ by $- 0.4$ .

$x = 39.75$