Question

Solve for x: 4x + 1/2(2x + 4)= 12

Answer 1

To solve for x in the equation 4x + 1/2(2x + 4) = 12, we simplify the equation, combine like terms, subtract 2 from both sides, and then divide by 5 to find that x = 2.

Step-by-step explanation:

To solve the equation 4x + 1/2(2x + 4) = 12, we need to first simplify and combine like terms. The equation can be rewritten as:

• 4x + (1/2 × 2x) + (1/2 × 4) = 12
• 4x + x + 2 = 12

Now combine like terms:

• 5x + 2 = 12

Next, subtract 2 from both sides to isolate the variable term:

• 5x = 10

Then, divide both sides by 5 to solve for x:

• x = 2

So the solution to the equation is x = 2.