Algebra Solver

All math tools

Solve linear equations and simplify basic algebraic expressions.

Equation: ax + b = cx + d

Coefficient a

Constant b

Coefficient c

Constant d

2x + 3 = 1x + 7

Solution for x

4.0000

Calculated x

TypeStandard

Step-by-Step Solution

1.Original: 2x + 3 = 1x + 7

2.Move x variables: (2 - 1)x = 7 - 3

3.1x = 4

4.x = 4 / 1

About this calculator

Algebraic Foundations

The goal of solving a linear equation is to isolate the variable (x) on one side of the equals sign. This involves performing the same operation on both sides to maintain equilibrium. A standard linear equation can have exactly one solution, no solution, or infinitely many solutions.

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Pro Tips

Combine like terms: move all 'x' terms to one side and constants to the other.
If you end up with 0 = 0, the equation is an identity (infinitely many solutions).
If you end up with 0 = 5, there is no solution (contradiction).

Fun Facts

"The word 'Algebra' comes from the Arabic 'al-jabr', meaning 'reunion of broken parts'."
"Diophantus of Alexandria, often called the 'father of algebra', was the first to use symbols to represent unknown numbers."
"Algebraic equations are used in computer algorithms to determine everything from pathfinding in games to social media feeds."

Formula: x = (d - b) / (a - c)