What is the solution to the equation 0.24(x - 10.2) = 6 when solving for ? (1 point)

1 answer

To solve this equation for x, we will first simplify the equation by distributing the 0.24 to the terms in the parentheses:

0.24(x - 10.2) = 6
0.24x - 0.24(10.2) = 6
0.24x - 2.448 = 6

Next, we will isolate the x term on one side of the equation:

0.24x - 2.448 + 2.448 = 6 + 2.448
0.24x = 8.448

To solve for x, we will divide both sides of the equation by 0.24:

(0.24x) / 0.24 = 8.448 / 0.24
x = 35.2

So the solution to the equation is x = 35.2.