Question

How do you solve \[22x+70=17x-95\]?

Answer 1

Hint: This question is from the topic of algebra. In this question, we have to find the value of x. This question will have only one solution of x because it is a linear equation. In solving this question, we will take all the constants to the left side of the equation. After that, we will take all the terms of x to the left side of the equation. From there, we will solve the further equation and find the value of x.

Complete step by step solution:
Let us solve this question. In this question, we have asked to solve the equation \[22x+70=17x-95\]. We will find the value of x from the given equation.
The given equation is
\[22x+70=17x-95\]
Here, we will take all the constants to the left side of the equation. The above equation can also be written as
\[\Rightarrow 22x+70+95=17x\]
Now, we will take all the variables that is all the terms of x to the right side of the equation, we can write the above equation as
\[\Rightarrow 22x-17x+70+95=0\]
The above equation can also be written as
\[\Rightarrow 5x+70+95=0\]
The equation can also be written as
\[\Rightarrow 5x+165=0\]
Now, dividing 5 in the both side of equation, we can write the above equation as
\[\Rightarrow \dfrac{5x}{5}+\dfrac{165}{5}=0\]
As we know that if we divide 165 by the number 5, then we will get as 33. So, we can write the above equation as
\[\Rightarrow x+33=0\]
The equation can also be written as
\[\Rightarrow x=-33\]
Hence, we have solved the equation \[22x+70=17x-95\] and found the value of x as -33.

Note: We should have a good knowledge in the topic of algebra to solve this type of question easily. We should know how to solve linear equations. Always remember that linear equations have only one solution.
We can solve this question in different ways.
The given equation is
\[22x+70=17x-95\]
This can also be written as
\[\Rightarrow 22x-17x=-95-70\]
The above equation can also be written as
\[\Rightarrow 5x=-165\]
The above equation can also be written as
\[\Rightarrow x=-\dfrac{165}{5}\]
The above equation can also be written as
\[\Rightarrow x=-33\]
So, we can use this method too to solve this type of question as we have got the same answer.