is it distributive, addition, subtraction, multiplication, division, or combine like terms x+x+13=17−x+x

1 answer

The equation x + x + 13 = 17 - x + x can be simplified using the commutative property of addition and by combining like terms.

First, combining like terms on the left side of the equation: x + x + 13 simplifies to 2x + 13.

Similarly, combining like terms on the right side of the equation: 17 - x + x simplifies to 17.

Now the equation becomes: 2x + 13 = 17.

This equation contains only addition and subtraction of terms, and no multiplication, division, or distribution. It can be further simplified by subtracting 13 from both sides: 2x = 4.

Finally, dividing both sides by 2 gives us the solution: x = 2.