Basic Algebra

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Algebra is one of the very prominent and important branches of mathematics. Basic algebra also has
equations with unknown variables and it involvessolving for the unknown variable. Variable is an element
which is inconsistent and unlike constants, it keeps changing its values according to the situation. There are
many methods to solve for unknown variables in a given algebraic equation.

Example 1: Given is a basic algebraic equation, 6x – 3 = 4x + 11. Solve the equation to get the value of ‘x’.

To solve for ‘x’, we have to add/subtract few terms on both sides of the equation.
 
Subtract ‘4x’ on both sides to balance equation 6x – 3–4x = 4x + 11–4x
 
Now, combine the like terms, this gives 2x – 3 = 11
 
Add ‘3’ on both sides: 2x – 3 +3 = 11+3
 
Combine the like terms: 2x= 14
 
Divide ‘2’ on both sides: 2x/2 = 14/2
 
The answer is: x = 7.
 
Example 2: Given is a basic algebraic equation, 8x – 5 = 3x + 20 Solve the equation to get the value of ‘x’.

To solve for ‘x’, we have to add/subtract few terms on both side of the equation.
 
Subtract ‘3x’ on both sides to balance equation 8x – 5–3x = 3x + 20 –3x
 
Now, combine the like terms, this gives 5x – 5 = 20
 
Add ‘5’ on both sides: 5x – 5 + 5= 20 + 5
 
Combine the like terms:5x= 25
 
Divide ‘5’ on both sides:5x/5= 25/5
 
The answer is: x = 5.



 

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