Simplifying Algebraic Expressions Calculator

This Simplifying Algebraic Expressions Calculator helps you simplify algebraic expressions by expanding brackets and combining like terms. First apply the distributive rule where needed, then group terms with the same variables and powers, and finally add or subtract their coefficients. Terms with different variable parts cannot be combined. It is a simple way to check answers, understand expression simplification, and practise basic algebra step by step.

Step-by-step method

1. Identify the expression that needs simplifying.
2. Copy the expression, then simplify it one operation at a time.

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.

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

In this problem: Copy the expression to start working.

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

In this problem: Distribute (expand) the bracket.

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

In this problem: Multiply to simplify the expanded terms.

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

In this problem: Group like terms together.

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

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

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.

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

In this problem: Copy the expression to start working.

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

In this problem: Distribute (expand) the bracket.

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

In this problem: Multiply to simplify the expanded terms.

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

In this problem: Distribute (expand) the bracket.

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

In this problem: Multiply to simplify the expanded terms.

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

In this problem: No simplification is needed.

Final answer: 3x − 2y + 22