Question

2x - 17 = 13, then x=?

Answer 1

2x=13+17
2x=30
X=30/2
X=15

Answer 2

15

Explanation:

We can use the properties of equality to find unknown variables.

Properties of Equality

The properties of equality (PoE) show us how we can manipulate an equation while maintaining equality. One of the most common properties of equality is the subtraction property of equality. The addition PoE says that if you add the same number to each side then the equation is still true. The other PoEs like subtraction, multiplication, and division PoEs work the same.

Solving for x

Using the PoEs above, we can solve for x. First, we need to rewrite the equation.

• 2x - 17 = 13

Then, add 17 to both sides using the addition PoE.

• 2x = 30

Finally, divide both sides by 2 using the division PoE.

• x = 15

In this equation, x = 15. Additionally, this shows how we can manipulate equations to solve for x.