Simplify Algebraic Expression Calculator

Work out simplify algebraic expression instantly with clear inputs, formula shown and shareable results.

About Simplify Algebraic Expression Calculator

Simplifying means collecting like terms: all the x coefficients add together and all the constants add together. Unlike terms, such as x and x², can never be combined.

Formula

Collecting like terms

(Σaᵏ)x + (Σbᵏ) — add coefficients of matching powers only

Worked example

With the default values below, Simplify Algebraic Expression Calculator returns Simplified expression of 10x + 5. Change any input above and every figure here is recalculated in your browser.

Inputs used

Coefficients of the x terms: 5, -3, 8
Constant terms: 7, -2
Evaluate the simplified expression at x =: 3

Results

Simplified expression: 10x + 5
Combined x coefficient: 10.000000
Combined constant: 5.000000
Value at your x: 35.000000

Step by step

1Values used
2Collecting like terms
3Simplified expression= 10x + 5
4Combined x coefficient= 10.000000
5Combined constant= 5.000000
6Value at your x= 35.000000

Assumptions and limits

The result is derived only from the 3 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
Figures are rounded for display to 6 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

Simplify 5x − 3x + 8x + 7 − 2.

10x + 5, which is 35 when x = 3.

Why can't I combine x and x²?

They represent different powers, so they are not like terms — much as you cannot add metres to square metres.