Simplifying Algebraic Expressions Calculator

Published on: October 13, 2024

Enter any algebraic expression, and this tool will simplify it by expanding and combining like terms.

Example 1: 4x + 3(2x − 5) − 7

Step 1 - Identify the expression that needs simplifying.

In this problem: This is the expression we will simplify.

4x + 3(2x − 5) − 7

Step 2 - Copy the expression, then simplify it one operation at a time.

In this problem: Copy the expression to start working.

4x + 3(2x − 5) − 7

Step 2a - Copy the expression, then simplify it one operation at a time.

In this problem: Distribute (expand) the bracket.

4x + 3(2x − 5) − 7 = 4x + 32x + 3(-1)5 − 7

Step 2b - Copy the expression, then simplify it one operation at a time.

In this problem: Multiply to simplify the expanded terms.

4x + 32x + 3(-1)5 − 7 = 10x − 15 − 7

Step 2c - Copy the expression, then simplify it one operation at a time.

In this problem: Group like terms together.

10x − 15 − 7 = 10x−(15−7)

Step 2d - Copy the expression, then simplify it one operation at a time.

In this problem: Combine like terms by adding/subtracting coefficients.

10x−(15−7) = 10x − 22

Final answer: 10x − 22

Example 2: 3(x + 4) − 2(y − 5)

Step 1 - Identify the expression that needs simplifying.

In this problem: This is the expression we will simplify.

3(x + 4) − 2(y − 5)

Step 2 - Copy the expression, then simplify it one operation at a time.

In this problem: Copy the expression to start working.

3(x + 4) − 2(y − 5)

Step 2a - Copy the expression, then simplify it one operation at a time.

In this problem: Distribute (expand) the bracket.

3(x + 4) − 2(y − 5) = 3x − 2(y − 5) + 12

Step 2b - Copy the expression, then simplify it one operation at a time.

In this problem: Multiply to simplify the expanded terms.

3x − 2(y − 5) + 12 = 3x − 2(y − 5) + 12

Step 2c - Copy the expression, then simplify it one operation at a time.

In this problem: Distribute (expand) the bracket.

3x − 2(y − 5) + 12 = 3x − 2y − 2(-1)5 + 12

Step 2d - Copy the expression, then simplify it one operation at a time.

In this problem: Multiply to simplify the expanded terms.

3x − 2y − 2(-1)5 + 12 = 3x − 2y + 22

Step 2e - Copy the expression, then simplify it one operation at a time.

In this problem: No simplification is needed.

3x − 2y + 22

Final answer: 3x − 2y + 22