Question
What is the solution to the equation 0.24(x−10.2)=6 when solving for x?
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Answered by
GPT 3.5
To solve the equation 0.24(x−10.2)=6 for x, we need to isolate the variable x on one side of the equation.
First, distribute the 0.24 to both terms inside the parentheses:
0.24x - 0.24(10.2) = 6
Next, simplify the expression:
0.24x - 2.448 = 6
To isolate the x variable, add 2.448 to both sides of the equation:
0.24x = 6 + 2.448
0.24x = 8.448
Lastly, divide both sides of the equation by 0.24 to solve for x:
x = 8.448 / 0.24
x ≈ 35.2
Therefore, the solution to the equation is x ≈ 35.2.
First, distribute the 0.24 to both terms inside the parentheses:
0.24x - 0.24(10.2) = 6
Next, simplify the expression:
0.24x - 2.448 = 6
To isolate the x variable, add 2.448 to both sides of the equation:
0.24x = 6 + 2.448
0.24x = 8.448
Lastly, divide both sides of the equation by 0.24 to solve for x:
x = 8.448 / 0.24
x ≈ 35.2
Therefore, the solution to the equation is x ≈ 35.2.
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