Solve for x.

Question

x + 0.60(15) = 0.80(x + 15)
Responses
A 99
B 1212
C 1313
D 15

Answer 1

To solve for x, we can start by simplifying the equation:

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

First, let's simplify the expressions within the parentheses:

x + 9 = 0.80(x + 15)

Next, distribute 0.80 to the terms inside the parentheses:

x + 9 = 0.80x + 12

Now, subtract 0.80x from both sides of the equation:

x - 0.80x + 9 = 0.80x - 0.80x + 12

This simplifies to:

0.20x + 9 = 12

Next, subtract 9 from both sides of the equation:

0.20x + 9 - 9 = 12 - 9

This simplifies to:

0.20x = 3

Finally, divide both sides of the equation by 0.20 to solve for x:

(0.20x)/0.20 = 3/0.20

This simplifies to:

x = 15

Therefore, the solution for x is 15.