what value of x makes the following statement true 2/3x-4+16

The given expression is:

\[
\frac{2}{3}x - 4 + 16 = 0
\]

To find the value of \( x \), we need to solve the equation step by step.

1. Combine the constants:
\[
\frac{2}{3}x - 4 + 16 = \frac{2}{3}x + 12 = 0
\]

2. Isolate \( \frac{2}{3}x \) by subtracting 12 from both sides:
\[
\frac{2}{3}x = -12
\]

3. Solve for \( x \) by multiplying both sides by the reciprocal of \( \frac{2}{3} \), which is \( \frac{3}{2} \):
\[
x = -12 \times \frac{3}{2}
\]
\[
x = -18
\]

Thus, the value of \( x \) is \( \boxed{-18} \).

Would you like more details or have any questions?

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Here are 5 related questions:

1. How do you handle equations involving fractions?
2. How can we check if our solution is correct?
3. What happens when there are multiple variables in an equation?
4. Can you solve equations with exponents?
5. How do you approach equations with radicals?

**Tip**: Always simplify the constants first to make the equation easier to solve!

Learn how to solve the linear equation 2/3x - 4 + 16 step by step. This algebra problem covers concepts like combining constants and solving equations with fractions. Suitable for students in Grades 7-9.

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