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Math has many branches and sub branches. Algebra is one of the most important and prominent branches of mathematics. The study of algebra consists of solving for the known and unknown variables. Algebraic equations contains numbers, constants, known and unknown variables, exponents to the variables. There are different mathematical operations such as addition, subtraction, multiplication and division used to solve the equations according to the requirement.

Example 1: Simplify and solve for x in the equation 6 x + 5 = 35?

Solution: Given equation is 6 x + 5 = 35.
Here the unknown variable which needs to be solved for is x.
First step: Subtract 5 on both sides of the given equation.
(6 x + 5) - 5 = 35 - 5. This gives 6 x = 30.
Now dividing both sided of the equation by 6.That is 6 x/ 6 = 30 / 6.
This reduces the given equation to x = 5.

Hence the solution is x = 5.
 

Example 2: Solve the equation 12(x – 3) - 2(x + 2) at x = 4?

Solution: Given equation is 12 (x – 3) - 2 (x + 2).
Here the variable is x; distributing the number in front of the braces.
This gives 12 (x - 3) = 12 x – 36; 2 (x + 2) = 2 x + 4.
Combining the similar terms in the equation.
This gives 12x – 36 - 2x - 4 = 10x – 40.
Substitute x = 4; 10(4) – 40 = 0

Hence the solution is 0.

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