Question

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

Answer 1

To solve the equation \( 1.26(x - 7.352) = 6.426 \), follow these steps:

1. First, divide both sides by 1.26 to isolate \( x - 7.352 \):
\[
x - 7.352 = \frac{6.426}{1.26}
\]

2. Calculate the right side:
\[
\frac{6.426}{1.26} = 5.1
\]

3. Now, update the equation:
\[
x - 7.352 = 5.1
\]

4. Next, add \( 7.352 \) to both sides to solve for \( x \):
\[
x = 5.1 + 7.352
\]

5. Calculate the final result:
\[
x = 12.452
\]

So, the solution to the equation is:
\[
\boxed{12.452}
\]