Solving Linear Equations Worksheet

What’s Included

This worksheet progresses from simple to complex:

1. One-step equations (Problems 1–5)

   • Addition/subtraction: $x + 7 = 15$
   • Multiplication/division: $3x = 24$

2. Two-step equations (Problems 6–12)

   • $2x + 5 = 17$
   • $\frac{x}{4} - 3 = 9$

3. Multi-step equations (Problems 13–16)

   • Distributive property: $3(x + 4) = 27$
   • Combining like terms

4. Variables on both sides (Problems 17–20)

   • $5x + 2 = 3x + 14$
   • $2(x - 1) = x + 7$

How to Use

• Show all steps — practice the process, not just the answer
• Check each solution by substituting back into the original equation
• Answer key with full step-by-step solutions is on page 2
• Use our Equation Solver to check your work

Related

• Solving Linear Equations — review the methods
• Order of Operations — review PEMDAS for multi-step problems