Question

what is the value of x in the equation (-\frac{2}{3}x + 9 = \frac{4}{3}x - 3)?

Explanation:

⚡ Using what you learned: Solving Equations with Variables on Both Sides

Step 1: Group the variable terms

$$ 9 = \frac{4}{3}x + \frac{2}{3}x - 3 $$

$$ 9 = \frac{6}{3}x - 3 $$

$$ 9 = 2x - 3 $$

Step 2: Isolate the variable term

$$ 9 + 3 = 2x $$

$$ 12 = 2x $$

Step 3: Solve for x

$$ x = \frac{12}{2} $$

$$ x = 6 $$

Answer:

6