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Chapter 3: Q.6 (page 164)

Solve the equation: 7(x-2)-8=9x

Short Answer

Expert verified

The solution for the equation is x=-11.

Step by step solution

01

Step 1.  Apply the concept of Linear Equation

In this type of equation, simply use the tools of mathematical operations like addition, subtraction, multiplication or division to eliminate the numbers in the equation and also maintaining the equality by using the proper numbers and get the result.

02

Step 2.  Find the value of x by opening the terms.

Since, the equation is 7(x-2)-8=9x.

Here, to simplify this equation, open the bracket and make it in simple equation,

7(x鈭�2)鈭�8=9x7x鈭�14鈭�8=9x7x鈭�22=9x

03

Step 3.  Solving the equation for x

Since, the final expression is 7x-22=9x.

Now, Take the variable and constant in the two different side to get solution and use mathematical operation,

7x鈭�22=9x7x鈭�9x=22鈭�2x=22x=鈭�222x=鈭�11

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