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Master the fundamentals of algebra as you solve one step equations through an interactive balance scale visualization! This engaging educational tool transforms abstract mathematical concepts into a tangible experience, offering detailed step-by-step solutions that break down each solving process. Watch as the scale tilts in response to your inputs, providing immediate visual feedback on your solution attempts.
A one step equation is a mathematical statement of the Form x ± b = ± c, where you solve for a variable (usually x) by performing a single operation - either addition, subtraction, multiplication, or division. For example: x + 3 = 12 and x - 5 = 10 are one-step equations.
When solving one step equation of the form x - b = ±c, add b to both sides of the equation.
x - b = c
x - b + b = c + b
x + 0 = c + b
x = c + b
Example: x - 2 = 8
x - 2 = 8
x - 2 + 2 = 8 + 2
x + 0 = 10
x = 10
Example: x - 4 = -6
x - 4 = -6
x - 4 = -6
x - 4 + 4 = -6 + 4
x + 0 = -2
x = -2
When solving one step equation of the form x + b = ± c, subtract b from both sides of the equation.
x + b = c
x + b - b = c - b
x + 0 = c - b
x = c - b
Example: x + 3 = 8
x + 3 = 8
x + 3 - 3 = 8 - 3
x + 0 = 5
x = 5
Example: x + 5 = -10
x + 5 = -10
x + 5 - 5 = -10 - 5
x + 0 = -15
x = -15