Solve for x 0.1*0.2x=8.4

$0.1 \cdot 0.2 x = 8.4$

Step 1

Multiply $0.2$ by $0.1$ .

$0.02 \cdot x = 8.4$

Step 2

Divide each term in $(0.02 \cdot x) = 8.4$ by $0.02$ and simplify.

Divide each term in $(0.02 \cdot x) = 8.4$ by $0.02$ .

$\frac{(0.02 \cdot x)}{0.02} = \frac{8.4}{0.02}$

Simplify the left side.

Cancel the common factor of $0.02$ .

Cancel the common factor.

$\frac{0.02 \cdot x}{0.02} = \frac{8.4}{0.02}$

Divide $x$ by $1$ .

$x = \frac{8.4}{0.02}$

Simplify the right side.

Divide $8.4$ by $0.02$ .

$x = 420$