- Writing and Solving One-Step Equations
- Home
- Solving a One-Step Linear Equation Problem Type 1
- Solving a One-Step Linear Equation Problem Type 2
- Additive Property of Equality With Whole Numbers
- Solving an Equation With Multiplication or Division
- Multiplicative Property of Equality With Whole Numbers
- Translating a Sentence Into a One-Step Equation

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# Additive Property of Equality With Whole Numbers

### Additive property of equality

In an equation, the additive property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal. This property holds true for whole numbers as well.

For **example**: Solve for x, x − 3 = 5

**Solution**

In the equation x − 3 = 5, we solve for x as follows.

Using additive property of equality, we add 3 to both sides of the equation to isolate the variable x.

x − 3 + 3 = 5 + 3

So, x = 8

Using the additive property of equality, solve the equation p + 7 = 13.

### Solution

**Step 1:**

Given equation p + 7 = 13

Using the additive property of equality, subtract 7 from both sides of the equation to isolate the variable p.

**Step 2:**

p + 7 − 7 = 13 – 7 = 6

So, p = 6

Using the additive property of equality, solve the equation s − 9 = 5.

### Solution

**Step 1:**

Given equation s − 9 = 5

Using the additive property of equality, add 9 to both sides of the equation to isolate the variable s.

**Step 2:**

s − 9 + 9 = 5 + 9 = 14

So, s = 14