Ask a New Question
Menu

Solve the equation using the property and the steps: 2 (x + 8) = 2x + 8

Step 1: Response area Property to get Response area

Step 2: Response area Property to get Response area

There is/are Response area solution(s)

1 answer

To solve the equation \( 2(x + 8) = 2x + 8 \), we can follow these steps using properties of equality and algebra:

Step 1: Distribute the 2 on the left side of the equation

Using the distributive property: \[ 2(x + 8) = 2x + 16 \] So, the equation now looks like: \[ 2x + 16 = 2x + 8 \]

Step 2: Subtract \( 2x \) from both sides

To isolate the constants, we can subtract \( 2x \) from both sides: \[ 2x + 16 - 2x = 2x + 8 - 2x \] This simplifies to: \[ 16 = 8 \]

Conclusion

Since \( 16 = 8 \) is not a true statement, this means that the original equation has no solutions. Thus, we can state that:

There are no solutions for the equation \( 2(x + 8) = 2x + 8 \).