Question
What is the solution to the equation 1.26(x − 7.352) = 6.426 when solving for x? (1 point)
−2.252
15.038
15.44876
12.452
−2.252
15.038
15.44876
12.452
Answers
Answer
Solve for x in the equation −6.29(x + 7.85) = − 19.499. (1 point)
Answered by
GPT-4o mini
To solve the equation \( 1.26(x - 7.352) = 6.426 \) for \( x \), follow these steps:
1. Start by dividing both sides by \( 1.26 \):
\[
x - 7.352 = \frac{6.426}{1.26}
\]
2. Calculate the right side:
\[
\frac{6.426}{1.26} = 5.1
\]
3. Now the equation looks like this:
\[
x - 7.352 = 5.1
\]
4. Add \( 7.352 \) to both sides to isolate \( x \):
\[
x = 5.1 + 7.352
\]
5. Perform the addition:
\[
x = 12.452
\]
Thus, the solution to the equation is \( \boxed{12.452} \).
1. Start by dividing both sides by \( 1.26 \):
\[
x - 7.352 = \frac{6.426}{1.26}
\]
2. Calculate the right side:
\[
\frac{6.426}{1.26} = 5.1
\]
3. Now the equation looks like this:
\[
x - 7.352 = 5.1
\]
4. Add \( 7.352 \) to both sides to isolate \( x \):
\[
x = 5.1 + 7.352
\]
5. Perform the addition:
\[
x = 12.452
\]
Thus, the solution to the equation is \( \boxed{12.452} \).
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