Simplifying Equations

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Equations consist of one or more than one unknown variables with different coefficients and constant numbers. Exponent is the degree of the variable in the equation. The degree of the variable can be one or more than one. Equations are the very common and used in almost every topic in mathematics. There are various mathematical operations which are used to simplify and solve equations.

Example 1: Simplify and solve for x in the equation 2 x – 4 = 26?

Solution: Given equation is 2 x – 4 = 26.

Here the unknown variable which needs to be solved for is x.

First step: Adding 4 on both sides of the given equation.

(2 x – 4) + 4 = 26 + 4.

This gives 2 x = 30.

Now dividing both sided of the equation by 2.

This gives 2 x/ 2 = 30 / 2.

This reduces the given equation to x = 15.

Hence the solution is x = 15.
 
Example 2: Simplify the equation 5 (x – 2) + 6 (x + 3) + 5?

Solution: Given equation is 5 (x – 2) + 6 (x + 3) + 5.

Here the variable is x; distributing the number in front of the braces.

This gives 5 (x - 2) = 5 x – 10; 6 (x + 3) = 6 x + 18.

Combining the similar terms in the equation.

This gives 5 x – 10+ 6 x + 18 = 11 x + 8

Hence the simplified form of the equation is 11 x + 8.
 

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