Solving algebraic equations—especially multi‑step ones—can feel daunting at first. By mastering a systematic approach, you’ll transform complex expressions into clear, solvable problems.

1. Begin with Simple Linear Equations

Linear equations are the foundation of all algebraic solving. The goal is to isolate the variable on one side of the equals sign and bring all constants to the other side.

Example: x – 6 = 10

Add 6 to both sides:
x – 6 + 6 = 10 + 6
x = 16

2. Handle Addition and Subtraction Equations

These follow the same isolation principle. Keep the same operation on both sides.

Example: n – 11 = 14 + 2

Move the subtraction term:
n – 11 + 11 = 16 + 11
n = 27

3. Solve Two‑Step Equations

After isolating the variable, a second operation—often division or multiplication—adjusts the coefficient to 1.

Example: 3x + 4 = 15

First, remove the constant term:
3x + 4 – 4 = 15 – 4
3x = 11
Then divide both sides by 3:
x = 11⁄3

4. Tackle Multi‑Step Equations

Multi‑step equations often have variables on both sides. Treat each side separately, then combine.

Example: 4x + 9 = 2x – 6

Subtract 2x from both sides:
4x – 2x + 9 = 2x – 2x – 6
2x + 9 = -6

Isolate x:
2x + 9 – 9 = -6 – 9
2x = -15
Divide:
x = -15⁄2

For a visual walkthrough, watch the video below: