GCSE Secondary Maths Age 13-17 - Algebra: Solving Equations - Explained

The video tutorial explains how to solve the equation 5 - X/2 = 2X - 7 by following standard equation-solving rules. The instructor emphasizes the importance of performing the same operation on both sides of the equation, starting by doubling both sides to eliminate the fraction. The process continues by isolating the variable X on one side and numbers on the other, leading to the solution X = 19/5. The tutorial highlights the key steps for earning marks and encourages students to apply these methods confidently, especially in challenging problems at the end of exams.

What is the first step to solve the equation 5 - X/2 = 2X - 7?

• Double both sides to eliminate the fraction

• Divide both sides by 2

• Add 7 to both sides

• Subtract 5 from both sides

After doubling both sides of the equation, what is the next step to isolate X?

• Add X to both sides

• Subtract X from both sides

• Divide both sides by 4

• Multiply both sides by 5

What is the value of X after solving the equation 5X = 19?

• X = 4

• X = 3

• X = 19/5

• X = 5/19

Which step is considered the most crucial in solving the equation?

• Dividing by 5

• Subtracting 5 from both sides

• Multiplying both sides by 2

• Adding 14 to both sides

Why is it important to not be intimidated by complex-looking equations?

• They are not worth any marks

• They require advanced mathematics

• They often have simple solutions once broken down

• They are always unsolvable