Answer:
7
Step-by-step explanation:
Start by expanding 2/3 (9x-6) = 4 (x+2) + 2 by calculating 2/3 (9x - 6)/3.
This results in 2/3 (9x - 6).
Next, factor it: 2/3 (9x - 6) becomes 6 (3x - 2) / 3.
Then, divide 6/3 by 2.
Arriving at 2 (3x - 2).
Now apply the distributive property.
2 multiplied by 3x and subtract 2 multiplied by 2.
This simplifies to
6x - 4.
Next, expand 4 (x + 2) + 2: 4x + 10.
Now you have the equation 6x - 4 = 4x + 10.
To solve for x, add 4 to both sides.
Resulting in 6x - 4 + 4 = 4x + 10 + 4.
Now simplify to
6x = 4x + 14.
Subtract 4x from each side.
So you simplify it further to
2x = 14.
Finally, divide both sides by 2.
The solution is 2x/2 = 14/2.
Doing one last simplification yields
x=7
