Question

Evaluate x = 3
2/3(6x+ 12 ) + 5x

Answer 1

To evaluate the expression \( \frac{2}{3}(6x + 12) + 5x \) at \( x = 3 \):

1. Substitute \( x = 3 \) into the expression:
\[
\frac{2}{3}(6(3) + 12) + 5(3)
\]

2. Calculate \( 6(3) + 12 \):
\[
6(3) = 18
\]
\[
18 + 12 = 30
\]

3. Substitute this back into the expression:
\[
\frac{2}{3}(30) + 5(3)
\]

4. Calculate \( \frac{2}{3}(30) \):
\[
\frac{2}{3} \times 30 = 20
\]

5. Calculate \( 5(3) \):
\[
5(3) = 15
\]

6. Now combine the results:
\[
20 + 15 = 35
\]

Thus, the value of the expression when \( x = 3 \) is \(\boxed{35}\).