To solve the equation 2(3x+5) = 46, you need to distribute the 2 to both terms within the parentheses:
2*3x + 2*5 = 46
This simplifies to:
6x + 10 = 46
Now, subtract 10 from both sides of the equation:
6x = 46 - 10
6x = 36
Finally, divide both sides of the equation by 6 to solve for x:
x = 36/6
x = 6
Therefore, the solution to the equation is x = 6.