Simplify expressions

To Simplify expressions which have different terms combined together by the help of the different operators, we mean that the value of the variable is to be calculated and the value of the variable which we get after we Simplify expressions, satisfies the equation.

In order to simplify expressions, we have different methods of solving the equations. In order to get the solution of the given equation, we will try to bring all the terms with the variables on one side of the equation and the terms with the constants values are taken to another side of the equation.

So for this we will move some of the terms from right side to the left side and some of the terms from left side will be shifted to right side of the equation.

Finally we observe that the variables of the equations appear on one side and the constant terms of the equations appear on the side of the equation. Thus on solving we will get the value of the variable in the given equation.

In order to check if the value of x, which we have calculated is correct or not, we will put the value of the variable in the equation given and observe that the left side of the equation is equal to the right side of the equation.

Simplify expressions

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Let us take an example of the equation and solve it for the given variable:

8x - 7 = 3x + 8

Here we must remember that while we have to change the position of the variable from one side of the equation, we will take the inverse step. Suppose we look at the above given equation, here we want to remove -7 from the left side of the equation, so for this we know that the inverse of -7 is 7.

For this we will add 7 on both sides of the equation and thus -7 will be eliminated from the left side of the equation. So the equation is written as follows:

8x - 7 + 7 = 3x + 8 + 7

Or we write

8x = 3x + 15

Now in next step, we need to remove 3x from the right side of the equation, for this we proceed in the same way. We know that the inverse of 3x is -3x, so we will add -3x on both sides of the equation and see what do we get:

8x + ( - 3x ) = 3x + ( -3x ) + 15

8x - 3x = 3x – 3x + 15

Or we have:

5x = 15

Yes, now we observe that we are left with one term on the left side of the equation and one term is on the right side of the equation.

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Now finally we need to eliminate the constant value 5, which has the relation of multiplication with the variable x in the ABOVE GIVEN SOLUTION. So in order to get the value of x in the equation, we say that we divide the both sides of the equations by 5 and find the following:

5x/5 = 15/5

Or x = 3 Ans

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