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In Course: GCSE Mathematics: Lower Tier

GCSE Maths: Solving Equations with Unknowns on Both Sides

Extend your equation-solving skills to linear equations that have the unknown variable on both sides of the equals sign, including those with brackets and word problems.

GCSE Maths: Solving Equations with Unknowns on Both Sides

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Deck Contents

26 Cards
Lesson#1
In this deck, we'll build on your skills by learning how to solve linear equations where the unknown, like x, appears on both sides of the equals sign. We'll also look at how to handle brackets and turn word problems into equations you can solve.
Lesson#2
The main challenge with an equation like '5x plus 2 equals 3x plus 10' is that the x terms are on different sides. The first goal is always to gather all the terms with an x onto one side of the equals sign, and all the plain number terms onto the other side.
Quiz#3
What is the first goal when solving an equation with unknowns on both sides?

Get unknowns on one side

Lesson#4
To move terms around, we use the balancing rule: whatever you do to one side of an equation, you must do exactly the same thing to the other side to keep it balanced.
Quiz#5
To keep an equation balanced, what must you do to both sides?

the same thing

Lesson#6
A good strategy is to find the smallest term with an unknown in it. In the equation '5x plus 2 equals 3x plus 10', the two x-terms are '5x' and '3x'. The smaller one is '3x'.

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