Question

How do you solve $3x+7=-11+2x$ ?

Answer 1

Hint: In this question, we have to find the value of x. Since, the given equation is linear, because it consists of only one variable and many constants. Thus, to solve this problem, we first subtract 7 on both sides of the equation and then make the necessary calculations. Then, we will subtract 2x on both sides of the equation and combine the like terms, to get the value of x, which is our required answer.

Complete step by step answer:
According to the problem, we have to find the value of x.
So, we simply use the basic mathematical rules to get the solution.
The equation given to us is $3x+7=-11+2x$ ------------- (1)
Firstly, we will subtract 7 on both sides in the equation (1), we get
$\Rightarrow 3x+7-7=-11+2x-7$
Now, the same terms with opposite signs cancel out each other on the left-hand of the above equation, therefore we get
$\Rightarrow 3x=-11+2x-7$
On further simplification, we get
$\Rightarrow 3x=2x-18$
Now, we will subtract $2x$ on both sides in the above equation, we get
$\Rightarrow 3x-2x=2x-18-2x$
As we know, the same terms with opposite signs cancel out each other on the right-hand of the above equation, thus we get
$\Rightarrow 3x-2x=-18$
Now, we will combine like terms on the LHS in the above equation, we get
$\Rightarrow x=-18$

Therefore, for the equation $3x+7=-11+2x$ , the value of x is equal to -18, which is our required answer.

Note: Make all the necessary calculations properly to avoid mistakes. One of the alternative methods is after the $3x=2x-18$ step, subtract both sides of the equation by 3x, then cancel out the same terms with opposite signs. After that, again add 18 on both sides of the equation and then multiply (-1) on both sides to get the value of x, which is our required answer.