Solve for x 0.40x-0.20(50+x)=-0.04*50

$0.4 x - 0.2 (50 + x) = - 0.04 \cdot 50$

Step 1

Simplify $0.4 x - 0.2 (50 + x)$ .

Simplify each term.

Apply the distributive property.

$0.4 x - 0.2 \cdot 50 - 0.2 x = - 0.04 \cdot 50$

Multiply $- 0.2$ by $50$ .

$0.4 x - 10 - 0.2 x = - 0.04 \cdot 50$

Subtract $0.2 x$ from $0.4 x$ .

$0.2 x - 10 = - 0.04 \cdot 50$

Step 2

Multiply $- 0.04$ by $50$ .

$0.2 x - 10 = - 2$

Step 3

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

Add $10$ to both sides of the equation.

$0.2 x = - 2 + 10$

Add $- 2$ and $10$ .

$0.2 x = 8$

Step 4

Divide each term in $0.2 x = 8$ by $0.2$ and simplify.

Divide each term in $0.2 x = 8$ by $0.2$ .

$\frac{0.2 x}{0.2} = \frac{8}{0.2}$

Simplify the left side.

Cancel the common factor of $0.2$ .

Cancel the common factor.

$\frac{0.2 x}{0.2} = \frac{8}{0.2}$

Divide $x$ by $1$ .

$x = \frac{8}{0.2}$

Simplify the right side.

Divide $8$ by $0.2$ .

$x = 40$