Solving Math Problems

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In math there are various branches and different kinds of problems to solve. Algebraic problems contains numbers, constants, known and unknown variables, exponents to the variables. The study of algebra consists of solving for the known and unknown 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 .
11(x – 1) + 6 if x = 2?

Solution: Given equation is 11 (x – 1) + 6.

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

First step: Distribute 11 for x - 1.

This gives: (11 x – 11) + 6 = 11 x – 11 + 5 = 11 x - 6.

Now substituting x = 3 in the simplified equation 11 x – 6.

This reduces the given equation to 11 (3) – 6 = 33 - 6 = 27.

Hence the solution is x = 27.
 
Example 2: Simplify the equation 5 (x – 4) + 2 (x + 3) - 30?

Solution: Given equation is 5 (x – 4) + 2 (x + 3) - 30.

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

This gives 5 (x - 4) = 5 x – 20; 2 (x + 3) = 2 x + 6.

Combining the similar terms in the equation.

This gives 5 x – 20 + 2 x + 6 - 30 = 7 x – 44.

Hence the simplified form of the equation is 7 x - 44.

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