Question

How do you solve \[3\left( x-2 \right)+5x=18\]?

Answer 1

Hint: This question belongs to the topic of algebra. In this question, we will find out the value of x. In solving this question, we will first multiply the term 3 with the term inside the bracket or parenthesis. From there, we will add all the terms of x. After that, we will solve the further equation. After that, we will take all the constants to the right side of the equation. After solving the equation we will find the value of x.

Complete step by step answer:
Let us solve this question.
In this question, we have to solve the equation \[3\left( x-2 \right)+5x=18\]. Or, we can say that we have to solve and find out the value of x from the given equation \[3\left( x-2 \right)+5x=18\].
The equation which we have to solve is
\[3\left( x-2 \right)+5x=18\]
Now, let's multiply the term 3 with the term inside the bracket. After multiplying, we can write the above equation as
\[\Rightarrow 3x-3\times 2+5x=18\]
The above equation can also be written as
\[\Rightarrow 3x-6+5x=18\]
Now, adding all the terms of x, we will get
\[\Rightarrow 8x-6=18\]
Now, taking all the constant terms to the right side of the equation, we will get
\[\Rightarrow 8x=18+6\]
\[\Rightarrow 8x=24\]
On dividing 8 to the both side of the equation, we will get
\[\Rightarrow \dfrac{8x}{8}=\dfrac{24}{8}\]
The above equation can also be written as
\[\Rightarrow x=\dfrac{24}{8}\]
As we know that if 24 is divided by 8, then we will get the division as 3. So, we will get
\[\Rightarrow x=3\]
Now, we have solved the equation \[3\left( x-2 \right)+5x=18\] and found the value of x as 3.

Note:
As we can see that this question is from the topic of algebra, so we should have a better knowledge in that topic.
Let us check if the answer of this question that we have found is correct or not.
For checking, we will substitute or put the value of as x as we have found in the solution in the equation \[3\left( x-2 \right)+5x=18\]
So, after putting the value of x as 3 in the equation \[3\left( x-2 \right)+5x=18\], we will get
\[3\left( 3-2 \right)+5\times 3=18\]
The above equation can also be written as
\[\Rightarrow 3\times 1+5\times 3=18\]
\[\Rightarrow 3+15=18\]
The above equation can also be written as
\[\Rightarrow 18=18\]
Hence, both sides of the equation are equal. So, our answer is correct.