Question

Twice the sum of a number and 2 is 14 more than the number.
Write an equation

Answer 1

10

Explanation:

2(x+2)= 14 + x

2x + 4 = 14 + x

2x - x = 14 - 4

x = 10

Answer 2

Explanation:

Step 1: Define the variable. Let's call the number we're trying to find "x."

Step 2: Translate the problem into an equation.

The problem states: "Twice the sum of a number and 2 is 14 more than the number."

This can be represented as:

2 * (x + 2) = x + 14

Step 3: Simplify the equation.

Now, simplify the equation:

2x + 4 = x + 14

Step 4: Solve for x.

To isolate x, subtract x from both sides of the equation:

2x - x + 4 = x - x + 14

x + 4 = 14

Now, subtract 4 from both sides to find x:

x + 4 - 4 = 14 - 4

x = 10

Step 5: Interpret the result.

The solution to the equation is x = 10.