What is the solution to the equation 0.24(x-10.2)=6 when solving for c

Question

16.44
14.8
35.2
11.64

Answer 1

To solve the equation 0.24(x-10.2)=6 for c, we need to isolate the variable c.

First, we can distribute 0.24 to the terms inside the parentheses:
0.24x - 0.24(10.2) = 6

Next, we simplify the equation by multiplying 0.24 with 10.2:
0.24x - 2.448 = 6

To isolate x, we add 2.448 to both sides of the equation:
0.24x = 6 + 2.448

Simplifying the right side of the equation:
0.24x = 8.448

Finally, we can solve for x by dividing both sides of the equation by 0.24:
x = 8.448 / 0.24

Calculating the value of x:
x ≈ 35.2

Hence, the solution to the equation for c is 35.2.