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39 votes
39 votes
notes and tips on how to solveHi I'd like to know if you could show me tips and give me notes for solving one variable equations with variables on both sides

User Jonas Bergner
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1 Answer

20 votes
20 votes

See explanation below

Step-by-step explanation:

Example of an expression:

20-4x = 3x + 6

To solve this expression, the first thing we do is collect like terms:

from the above, we have numbers and we have variable (numbers attached to alphabet)

3x + 4x is the same as adding 3 + 4 = 7. This is because they have the same variable (x)

20 - 6 = 3x + 4x

we simplify:

14 = 7x

Divide both sides by the coefficient of x:

The coefficient of x = 7

14/7 = 7x/7

2 = x

x = 7

Another example: 4 + 5x = 44 + 7x

collect like terms:

4 - 44 = 7x - 5x

-40 = 2x

Divide both sides by the coefficient of x:

The coefficient of x = 2

-40/2 = 2x/2

-20 = x

x = -20

User Sequoyah
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