step by step distributive property of x-15=21

To solve the equation \( x - 15 = 21 \) step by step using the distributive property, follow these steps:

### Step 1: Isolate the variable
We want to solve for \( x \). Since \( x \) is already on one side of the equation, we don't need to apply the distributive property here. Instead, we'll simply add \( 15 \) to both sides to move the constant term to the other side.

\[
x - 15 + 15 = 21 + 15
\]

### Step 2: Simplify both sides
On the left-hand side, \( -15 + 15 \) cancels out, leaving just \( x \). On the right-hand side, \( 21 + 15 = 36 \).

\[
x = 36
\]

### Step 3: Final solution
The solution is \( x = 36 \).

If you want to verify, substitute \( x = 36 \) back into the original equation:
\[
36 - 15 = 21
\]
Since this is true, the solution \( x = 36 \) is correct.

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Would you like further details or have any questions?

Here are five related questions for further practice:
1. Solve \( 2x - 7 = 15 \).
2. Use the distributive property to simplify \( 3(x - 4) = 12 \).
3. Solve \( 5x - 9 = 31 \).
4. Simplify \( 2(x + 6) - 4 = 0 \).
5. Solve \( 7x + 10 = 45 \).

**Tip**: When solving equations, always remember to perform the same operation on both sides to keep the equation balanced.

This webpage explains how to solve the linear equation x - 15 = 21 using a detailed step-by-step approach. Key algebraic concepts such as isolating variables and the addition property of equality are covered. Ideal for students in Grades 6-8.

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