Question

How do you solve $ 6x - 5 + 8x - 6 = 8x + 6x + 11 $ ?

Answer 1

Hint: In order to determine the value of variable $ x $ in the above equation. Combining like terms by Using the rules of transposing terms to transpose terms having $ x $ on the left-hand side and constant value terms on the right-Hand side of the equation. While combining terms, you will see no term having variable $ x $ is left, so its is not a value linear equation concluding that no solution exists for the given equation.

Complete step by step solution:
 We are given a linear equation in one variable $ 6x - 5 + 8x - 6 = 8x + 6x + 11 $ .and we have to solve this equation for variable ( $ x $ ).
 $ 6x - 5 + 8x - 6 = 8x + 6x + 11 $
Now combining like terms on both of the sides. Terms having $ x $ will on the left-Hand side of the equation and constant terms on the right-hand side.
Let’s recall one basic property of transposing terms that on transposing any term from one side to another the sign of that term get reversed.
After transposing terms our equation becomes
 $\Rightarrow 6x + 8x - 8x - 6x = 11 + 5 + 6 $
As you can see all the terms having $ x $ are getting cancelled. The above equation is not a valid linear equation .
Therefore, no solution exist for the given equation

Note: 1. One must be careful while calculating the answer as calculation error may come.
2.Like terms are the terms who have the same variable and power.
3. The highest degree of variable $ x $ is 1 in the given equation