Solving Linear Equations with Variables on Both Sides

Question:
Solve each equation. Part a: 5x plus 3 equals 2x plus 18. Part b: 7 minus 4y equals 2y minus 11. Part c: 6 times the quantity w minus 2, equals 3w plus 6. Identify the solution, or state if it has no solution or infinitely many solutions.

Solving Linear Equations with Variables on Both Sides

This lesson covers how to solve linear equations where the variable appears on both sides, including equations requiring the distributive property. Students learn to collect variable terms on one side, isolate the variable, and identify whether an equation has one solution, no solution, or infinitely many solutions.

In this lesson, you will learn to:
• Collect variable terms on one side of an equation using addition or subtraction properties of equality
• Apply the distributive property before solving equations with parentheses
• Solve linear equations with variables on both sides and ve