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When is the solution to the equation 0.24 (x-10.2)=6 when solving for x
To solve the equation 0.24(x - 10.2) = 6 for x, we need to isolate the variable.
First, distribute the 0.24 to both terms inside the parentheses:
0.24(x - 10.2) = 0.24 * x - 0.24 * 10.2
0.24(x - 10.2) = 0.24x - 2.448
Next, combine like terms:
0.24x - 2.448 = 6
To isolate the variable, add 2.448 to both sides of the equation:
0.24x - 2.448 + 2.448 = 6 + 2.448
0.24x = 8.448
Finally, divide both sides of the equation by 0.24:
(0.24x)/0.24 = 8.448/0.24
x = 35.2
Therefore, the solution to the equation 0.24(x - 10.2) = 6 is x = 35.2.