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

Question

A) 35.2
B) 14.8
C) 11.64
D) 16.44

Answer 1

To solve for x, we first distribute 0.24 to the terms inside the parentheses:
0.24(x - 10.2) = 6
0.24x - 2.448 = 6
Next, add 2.448 to both sides of the equation to isolate the variable:
0.24x = 6 + 2.448
0.24x = 8.448
To isolate x, divide both sides of the equation by 0.24:
x = 8.448 / 0.24
x = 35.2

The solution to the equation is x = 35.2

Therefore, the answer is A) 35.2