Linear Equation Balancer

Solve algebraic equations using the metaphor of a balance scale. Perform inverse operations on both sides to isolate variable x.

Interactive Widget

Equation Balancing Scale

Choose a preset equation or build a custom one below. Gold coins (+1) and Rose bags (+x) sit on the pans, while Helium balloons representing negative values (-1) and (-x) pull upwards. Click buttons to apply matching operations to both sides!

Current Balanced Equation

3x + 2

x + 6

Algebraic Step History

Custom Equation Builder

x + = x +

Goal: Isolate a single x on the left side (or right) so that 1x = C.