Linear Equation Balancer
Solve linear equations using an interactive balance scale. The core goal of solving an equation is to isolate variable x into its simplest terms (1x = C) by applying identical inverse operations to both sides of the scale.
Interactive Widget
Equation Balancing Scale
Core Objective: Isolate a single variable term (1x) on one side of the scale and all constants (C) on the opposite side. Left side terms sit in Blue (x) and Green (Constant) boxes, while Right side terms sit in Orange (x) and Purple (Constant) boxes. Perform matching inverse operations on both sides to simplify down to 1x = C!
Current Balanced Equation
3x + 2
=
x + 6
Current x Value:
x = 2.00
Algebraic Step History
Custom Equation Builder
x +
=
x +
Goal & Simplification Rule: To solve the linear equation, apply inverse operations until x is completely isolated into its smallest unit term on one side:
1x = Solution Value (C)
1x = Solution Value (C)