Solving One-Step Equation Calculator

Published on: November 3, 2024

This Solving One-Step Equation Calculator helps you solve equations by isolating the variable in a single step. Use the inverse operation to undo addition, subtraction, multiplication, or division on the variable side while keeping the equation balanced. Then simplify to find the value of the variable. It is a simple way to check answers, understand equation solving, and practise basic algebra step by step.

Step-by-step method

  1. Set up the equation.
  2. Isolate x by doing the operation(s) needed (if there is more than one, use 2a, 2b, 2c, ...).

Example 1: x + ( − 11) = − 30

Step 1 - Set up the equation.

In this problem: The equation is x + ( − 11) = − 30.

x + ( − 11) = − 30

Step 2 - Isolate x by doing the operation(s) needed (if there is more than one, use 2a, 2b, 2c, ...).

In this problem: The equation is x + ( − 11) = − 30.

x + ( − 11) = − 30

Step 2a - Isolate x by doing the operation(s) needed (if there is more than one, use 2a, 2b, 2c, ...).

In this problem: Fix the signs. Remember: +(−a) = −a.

x + ( − 11) = − 30 becomes x − 11 = -30

Step 2b - Isolate x by doing the operation(s) needed (if there is more than one, use 2a, 2b, 2c, ...).

In this problem: Add 11 to both sides.

x11+11=-30+11

Step 2c - Isolate x by doing the operation(s) needed (if there is more than one, use 2a, 2b, 2c, ...).

In this problem: Simplify.

x=-19

Final answer: x = -19

Example 2: x − ( − 8) = − 1

Step 1 - Set up the equation.

In this problem: The equation is x − ( − 8) = − 1.

x − ( − 8) = − 1

Step 2 - Isolate x by doing the operation(s) needed (if there is more than one, use 2a, 2b, 2c, ...).

In this problem: The equation is x − ( − 8) = − 1.

x − ( − 8) = − 1

Step 2a - Isolate x by doing the operation(s) needed (if there is more than one, use 2a, 2b, 2c, ...).

In this problem: Fix the signs. Remember: −(−a) = +a.

x − ( − 8) = − 1 becomes x + 8 = -1

Step 2b - Isolate x by doing the operation(s) needed (if there is more than one, use 2a, 2b, 2c, ...).

In this problem: Subtract 8 from both sides.

x+88=-18

Step 2c - Isolate x by doing the operation(s) needed (if there is more than one, use 2a, 2b, 2c, ...).

In this problem: Simplify.

x=-9

Final answer: x = -9