Solve for x x+0.60(15)=0.80(x+15)

$x + 0.6 (15) = 0.8 (x + 15)$

Step 1

Multiply $0.6$ by $15$ .

$x + 9 = 0.8 (x + 15)$

Step 2

Simplify $0.8 (x + 15)$ .

Apply the distributive property.

$x + 9 = 0.8 x + 0.8 \cdot 15$

Multiply $0.8$ by $15$ .

$x + 9 = 0.8 x + 12$

Step 3

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

Subtract $0.8 x$ from both sides of the equation.

$x + 9 - 0.8 x = 12$

Subtract $0.8 x$ from $x$ .

$0.2 x + 9 = 12$

Step 4

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

Subtract $9$ from both sides of the equation.

$0.2 x = 12 - 9$

Subtract $9$ from $12$ .

$0.2 x = 3$

Step 5

Divide each term in $0.2 x = 3$ by $0.2$ and simplify.

Divide each term in $0.2 x = 3$ by $0.2$ .

$\frac{0.2 x}{0.2} = \frac{3}{0.2}$

Simplify the left side.

Cancel the common factor of $0.2$ .

Cancel the common factor.

$\frac{0.2 x}{0.2} = \frac{3}{0.2}$

Divide $x$ by $1$ .

$x = \frac{3}{0.2}$

Simplify the right side.

Divide $3$ by $0.2$ .

$x = 15$