What is the solution to the equation 1.26(x−7.352)=6.426 when solving for x ?(1 point)

Responses

15.44876
15.44876

−2.252
negative 2.252

15.038
15.038

12.452
12.452

1 answer

To solve the equation 1.26(x−7.352)=6.426, we can start by distributing 1.26 to the terms inside the parentheses:

1.26x - (1.26)(7.352) = 6.426

Next, we can simplify the equation by multiplying 1.26 and 7.352:

1.26x - 9.254752 = 6.426

To isolate the variable x, we can add 9.254752 to both sides of the equation:

1.26x = 6.426 + 9.254752

1.26x = 15.680752

Finally, we can solve for x by dividing both sides of the equation by 1.26:

x = 15.680752 / 1.26

x ≈ 12.452

Therefore, the solution to the equation is x ≈ 12.452.