Rearrange the Equation Calculator

Equation

Target Variable

Decimal Precision

Known Values

Solution Style

Optional Notes

Example Data Table

Equation	Target	Known Values	Result
3x + 2y = 18	x	y=3	x = 4
5a - 2b = 20	a	b=5	a = 6
p/4 + q = 12	p	q=5	p = 28
7m - n = 3	n	m=2	n = 11

Formula Used

The calculator converts a linear equation into standard form.

Ax + B = C

After moving terms, it becomes:

Ax = C - B

Then the target variable is isolated:

x = (C - B) / A

For formulas with other variables, those variables remain in the final expression unless known values are supplied.

How to Use This Calculator

Enter one linear equation with one equal sign.
Type the variable you want to isolate.
Add known values, such as y=3, when needed.
Select decimal precision for rounded numeric results.
Press Calculate to view the rearranged equation.
Use CSV or PDF download for saved records.

Understanding Equation Rearrangement

Equation rearrangement is a core skill in algebra. It helps you isolate one variable while keeping the equation balanced. The same action must be applied to both sides. This rule protects equality. It also makes each step easier to check.

Why Rearranging Matters

Many formulas are written for one unknown. Real problems often need another unknown instead. A speed formula may give distance. A finance formula may need rate. A geometry formula may need height. Rearranging lets one formula answer many questions. It saves time and reduces repeated memorization.

Linear Equation Method

This calculator focuses on linear equations. A linear equation has variables raised only to the first power. It can include addition, subtraction, multiplication by constants, division by constants, and brackets. The calculator expands the accepted expression into coefficients. Then it moves all terms to one side. The target variable coefficient is identified. Other terms are moved to the opposite side. Finally, both sides are divided by the target coefficient.

Step Accuracy

Clear steps help learners understand the transformation. They also help teachers review work. Each displayed step shows a valid algebra move. If known values are entered, the calculator also gives a numeric answer. If values are missing, it keeps the answer as a formula.

Best Practice

Use simple variable names, such as x, y, a, b, or total. Place multiplication signs when an expression is complex. The calculator also accepts common implicit multiplication, such as 3x. Avoid nonlinear terms, such as x squared, xy, or division by a variable. Those cases need a different symbolic solver.

Learning Value

This tool is useful for homework, revision, engineering formulas, physics equations, and general math practice. It gives the final rearranged form, coefficient details, and export options. The example table provides quick test cases. Students can compare manual answers with generated steps. That improves confidence and supports stronger algebra habits.

FAQs

What does rearranging an equation mean?

It means changing the equation form to make one chosen variable the subject. The value stays equivalent because every valid step keeps both sides balanced.

Can this calculator solve any equation?

It is designed for linear equations. It does not solve nonlinear equations with squared variables, variable products, roots, or variables in denominators.

What is a target variable?

The target variable is the symbol you want alone on one side. For example, in 3x + y = 10, x can be the target.

Can I enter known values?

Yes. Enter values like y=3, a=5, or rate=2.5. The calculator then evaluates the rearranged expression when all other variables are known.

Does it show working steps?

Yes. It shows parsing, standard form, isolation, division, and final form. These steps help you understand the algebra process.

Can I download the answer?

Yes. You can download a CSV file from the form. You can also create a PDF from the displayed result using the PDF button.

Why did I get an unsupported equation error?

The expression may contain nonlinear operations. Avoid x squared, xy, variable exponents, or division by a variable. Use linear forms only.

Can I use brackets in equations?

Yes. Brackets are accepted when they remain linear. For example, 2(x + 3) = 14 is supported and can be rearranged.