BODMAS Calculator with Variables

Substitute variable values into expressions and evaluate using BODMAS rules.

Variable Substitution Calculator

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Using BODMAS with Variables

Expressions containing variables follow the exact same BODMAS hierarchy. Substitute values first, then evaluate brackets, exponents, multiplication/division, and addition/subtraction in order.

Variable Substitution Example (x=3)
✓ Substitution Flow
5x + (x² - 4)
1. Substitute: 5(3) + (3² - 4)
2. Bracket exponent: 9 - 4 = 5
3. Multiply: 15
4. Add: 15 + 5 = 20
= 20 ✓

The VBODMAS Hierarchy

When variables are involved, the full sequence is Vinculum → Brackets → Orders → Division/Multiplication → Addition/Subtraction.

Priority Pyramid
1Brackets ( )innermost first
2Orders x²exponents/roots
3Division & Multiplication÷ × L→R
4Addition & Subtraction+ − L→R

Variable Rules

Key rules when working with variables in BODMAS expressions.

Variable Tips
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Coefficients
3x means 3 × x. Multiplication applies per BODMAS priority.
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Like Terms
Only add/subtract like terms: 2x + 3x = 5x

All BODMAS Calculator Tools

Explore our complete suite of free BODMAS calculators — each designed for a specific math topic with step-by-step solutions.

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BODMAS Calculator

Solve any expression using BODMAS order of operations with step-by-step solutions.
⅓

Fractions Calculator

Add, subtract, multiply and divide fractions following BODMAS rules.
🔬

Scientific Calculator

Evaluate trig, logarithms, exponents and roots with high-precision.
xⁿ

Exponents Calculator

Calculate powers and indices using the BODMAS order of operations.
📐

Algebra Calculator

Solve algebraic expressions step-by-step using BODMAS/PEMDAS.
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Equation Calculator

Verify both sides of an equation with BODMAS evaluation.
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Simplify Calculator

Simplify complex expressions step-by-step using BODMAS rules.
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Square Roots (BEDMAS)

Calculate square roots and nth roots with BEDMAS order of operations.
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Variables Calculator

Substitute variable values and evaluate using BODMAS rules.

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Vinculum (VBODMAS)

Solve expressions with vinculum bar brackets using VBODMAS rules.

Variables FAQ

Common questions about evaluating variables under BODMAS.

Substitute numerical values for each variable, then follow BODMAS: Brackets, Orders, Division/Multiplication (left to right), Addition/Subtraction (left to right).
The exponent must be calculated after brackets and before multiplication, division, addition, or subtraction.
Operations inside brackets are simplified first, even if they contain variables.
No. Multiplication/division and addition/subtraction must be executed left to right.