Answer:
To solve for the value of x in the equation (5x+2) = [3(x+14)], you can start by simplifying the equation:
5x + 2 = 3(x + 14)
Now, distribute the 3 on the right side of the equation:
5x + 2 = 3x + 42
Next, you want to isolate the variable x on one side of the equation. You can do this by moving the 3x from the right side to the left side by subtracting 3x from both sides:
5x - 3x + 2 = 42
Now, simplify the equation:
2x + 2 = 42
Subtract 2 from both sides to isolate the term with x:
2x = 42 - 2
2x = 40
Finally, divide both sides by 2 to solve for x:
2x/2 = 40/2
x = 20
So, the solution to the equation (5x+2) = [3(x+14)] is x = 20.