Question

Solve for the variable 2(x+5)=16

Answer 1

To solve the equation 2(x+5)=16, distribute the 2 across the parentheses, subtract 10 from both sides, and divide by 2 to isolate 'x'. The solution is x = 3.

Step-by-step explanation:

To solve the given equation, 2(x+5)=16, we will follow a series of algebraic steps. This process involves applying inverse operations to isolate the variable 'x'.

1. First, we distribute the multiplication across the parentheses: 2*x + 2*5 = 16, which simplifies to 2x + 10 = 16.
2. Next, subtract 10 from both sides of the equation to move the constant term to the other side: 2x + 10 - 10 = 16 - 10, simplifying to 2x = 6.
3. Finally, we divide both sides of the equation by 2 to isolate 'x': 2x / 2 = 6 / 2, which results in x = 3.

Thus, the solution to the equation 2(x+5)=16 is x = 3.