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 teacher demonstrates doubling both sides to eliminate fractions, isolating variables, and solving for X. The importance of each step is highlighted, with marks allocated for key actions. The tutorial concludes with encouragement to approach challenging problems confidently, emphasizing the value of understanding and applying basic rules.

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

• Subtract 5 from both sides

• Add 7 to both sides

• Double both sides

• Divide both sides by 2

After doubling both sides of the equation, what is the resulting equation?

• 5 - X = 4X - 14

• 5 - X = 2X - 7

• 10 - X = 4X - 14

• 10 - 2X = 4X - 14

What operation is performed to move all X terms to one side of the equation?

• Multiply both sides by X

• Add X to both sides

• Subtract X from both sides

• Divide both sides by X

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

• X = 4

• X = 5/19

• X = 19/5

• X = 3

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

• Adding 14 to both sides

• Dividing both sides by 5

• Subtracting 5 from both sides

• Multiplying both sides by 2