Solving multi-step equations means finding the value of a variable by performing more than one operation (such as addition, subtraction, multiplication, or division). In these equations, you may need to use more than one step to isolate the variable and solve for it.

To solve a multi-step equation, follow these general steps:

• First, simplify both sides of the equation if needed (combine like terms, distribute if necessary).
• Then, move terms involving the variable to one side of the equation and constants to the other side.
• Finally, solve for the variable by performing the necessary operations.

Examples:

Example 1: Solving an Equation with Addition and Subtraction
Solve: 2x + 5 = 15
Step 1: Subtract 5 from both sides.
2x = 15 - 5
2x = 10
Step 2: Divide both sides by 2.
x = 10 / 2
x = 5
So, the solution is x = 5.

Example 2: Solving an Equation with Multiplication and Division
Solve: 4x - 7 = 9
Step 1: Add 7 to both sides.
4x = 9 + 7
4x = 16
Step 2: Divide both sides by 4.
x = 16 / 4
x = 4
So, the solution is x = 4.

Multi-step equations are an important skill in algebra because they lay the foundation for solving more complex equations.

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