Solving Equations of the First Degree with One Unknown

Solver for first degree equations with one unknown. Equations can be expressed as a1*x + c1 = a2*x + c2, and solved to find x.

Solving First Degree Equations with One Unknown

A first degree equation with one unknown can be expressed as:

a₁x + c₁ = a₂x + c₂

Which can be rearranged to solve for x:

x = (c₂ - c₁) / (a₁ - a₂)

Example

For the equation: 22x - 10 = 12x + 20

  • a₁ = 22, c₁ = -10
  • a₂ = 12, c₂ = 20
  • x = (20 - (-10)) / (22 - 12) = 30 / 10 = 3
Calculator

Inputs

Results

Solution (x)--