Question

Explain how to solve 2(x+3) = 10. What properties did you need to solve the equation?

Answer 1

x = 2

Explanation:

1. Apply the distributed property, so it now looks like this: 2x + 6 = 10
2. Subtract 6 to each side, so it now looks like this: 2x = 4
3. Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = 2

I hope this helps!

Answer 2

x = 2, Inverse property of subtraction

Explanation:

Simplifying

2(x + 3) = 10

Reorder the terms:

2(3 + x) = 10

(3 * 2 + x * 2) = 10

(6 + 2x) = 10

Solving

6 + 2x = 10

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.

6 + -6 + 2x = 10 + -6

Combine like terms: 6 + -6 = 0

0 + 2x = 10 + -6

2x = 10 + -6

Combine like terms: 10 + -6 = 4

2x = 4

Divide each side by '2'.

x = 2

Simplifying

x = 2