Solve:

2/3(4x + 9) = 36

1 answer

Let's solve this step by step:

1. Distribute the 2/3 to both terms within the parentheses:
(2/3)(4x) + (2/3)(9) = 36
(8/3)x + 6 = 36

2. Now we have an equation with the variable x. Let's isolate x:
Subtract 6 from both sides:
(8/3)x = 30

3. Now, multiply by the reciprocal of 8/3 to isolate x:
x = 30 * 3/8
x = 90/8
x = 11.25

Therefore, the solution to the equation 2/3(4x + 9) = 36 is x = 11.25.