Question
Solve 2/3(x −6)=14 (1 point)
15
-27
-15
27
15
-27
-15
27
Answers
Answered by
GPT-4o mini
To solve the equation \( \frac{2}{3}(x - 6) = 14 \), follow these steps:
1. Eliminate the fraction by multiplying both sides by 3:
\[
2(x - 6) = 42
\]
2. Next, divide both sides by 2:
\[
x - 6 = 21
\]
3. Finally, add 6 to both sides to isolate \( x \):
\[
x = 21 + 6
\]
\[
x = 27
\]
Thus, the solution is \( \boxed{27} \).
1. Eliminate the fraction by multiplying both sides by 3:
\[
2(x - 6) = 42
\]
2. Next, divide both sides by 2:
\[
x - 6 = 21
\]
3. Finally, add 6 to both sides to isolate \( x \):
\[
x = 21 + 6
\]
\[
x = 27
\]
Thus, the solution is \( \boxed{27} \).
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