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 systematic steps. The instructor emphasizes the importance of performing the same operation on both sides of the equation, starting with 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 key steps that earn marks and encourages students to apply learned rules to solve similar equations.

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

• Divide both sides by 2

• Add 7 to both sides

• Double both sides

• Subtract 5 from both sides

After doubling both sides of the equation, what is the resulting expression on the left side?

• 10 - X

• 10 - 2X

• 5 - 2X

• 5 - X

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

• Subtract X from both sides

• Add X to both sides

• Multiply both sides by X

• Divide both sides by X

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

• X = 5

• X = 3.8

• X = 19

• X = 4.5

Which step is considered the most crucial in solving the equation for full marks?

• Dividing both sides by 5

• Subtracting 5 from both sides

• Multiplying both sides by 2

• Adding 14 to both sides