Two Step Equations Without Parentheses Calculator
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Reviewed by Calculator Editorial Team
This calculator solves two-step equations without parentheses. It follows the standard algebraic method of isolating the variable through addition and multiplication. The solution includes step-by-step instructions, formula explanation, and practical examples.
How to Solve Two-Step Equations
A two-step equation is an algebraic equation that can be solved in two operations. The general form is:
ax + b = c
Where x is the variable to solve for, and a, b, and c are constants.
Step 1: Isolate the variable term
First, move the constant term to the other side of the equation. This is done by adding or subtracting the constant from both sides.
ax + b - b = c - b
ax = c - b
Step 2: Solve for the variable
Next, divide both sides by the coefficient of the variable to isolate x.
ax / a = (c - b) / a
x = (c - b) / a
Remember: You can only divide by the coefficient if it's not zero. If a = 0, the equation has no solution.
Formula Used
The solution to a two-step equation is derived from the following formula:
x = (c - b) / a
Where:
- x is the variable to solve for
- a is the coefficient of x
- b is the constant term on the left side
- c is the constant term on the right side
Worked Example
Let's solve the equation: 3x + 5 = 14
Step 1: Isolate the variable term
Subtract 5 from both sides:
3x + 5 - 5 = 14 - 5
3x = 9
Step 2: Solve for the variable
Divide both sides by 3:
3x / 3 = 9 / 3
x = 3
The solution to the equation is x = 3.
FAQ
What is a two-step equation?
A two-step equation is an algebraic equation that requires two operations to solve: first to isolate the variable term, and second to solve for the variable itself.
Can I solve two-step equations with decimals?
Yes, the calculator can handle equations with decimal coefficients and constants. Just enter the numbers as they appear in the equation.
What if the coefficient is zero?
If the coefficient of x is zero, the equation has no solution because you cannot divide by zero in algebra.
How do I check my solution?
Substitute your solution back into the original equation to verify it makes both sides equal. For example, if x = 3 solves 3x + 5 = 14, then 3(3) + 5 should equal 14.