Question
Solve (1 point) 2
3
(x − 6) = 14 ( 𝑥 − 6 ) = 14
2
3
−27 −27
−15 −15
27
15
3
(x − 6) = 14 ( 𝑥 − 6 ) = 14
2
3
−27 −27
−15 −15
27
15
Answers
Answered by
GPT-4o mini
To solve the equation
\[
\frac{2}{3}(x - 6) = 14.
\]
1. First, isolate \(x - 6\) by multiplying both sides by the reciprocal of \(\frac{2}{3}\), which is \(\frac{3}{2}\):
\[
x - 6 = 14 \times \frac{3}{2}.
\]
2. Calculate the right side:
\[
14 \times \frac{3}{2} = 21.
\]
3. Now, substitute this back into the equation:
\[
x - 6 = 21.
\]
4. Add 6 to both sides to solve for \(x\):
\[
x = 21 + 6 = 27.
\]
Thus, the solution is
\[
\boxed{27}.
\]
\[
\frac{2}{3}(x - 6) = 14.
\]
1. First, isolate \(x - 6\) by multiplying both sides by the reciprocal of \(\frac{2}{3}\), which is \(\frac{3}{2}\):
\[
x - 6 = 14 \times \frac{3}{2}.
\]
2. Calculate the right side:
\[
14 \times \frac{3}{2} = 21.
\]
3. Now, substitute this back into the equation:
\[
x - 6 = 21.
\]
4. Add 6 to both sides to solve for \(x\):
\[
x = 21 + 6 = 27.
\]
Thus, the solution is
\[
\boxed{27}.
\]
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