Question

How do you solve $ - x + 5 = - 2x + 11$?

Answer 1

Hint: In this problem we have not given any equation but we have given some addition of two terms equal to addition of other two terms having one unknown variable. And we asked to solve the given terms. We can find the result by keeping the variables in one side and taking the numbers in one side and then we have to simplify.

Complete step by step answer:
Given term is $ - x + 5 = - 2x + 11$
Now let’s take the $x$ term in the right hand side to right hand side
$ \Rightarrow - x + 5 + 2x = 11$,
On negative sign turns positive when we take it to the other side of equal to symbol
Now let’s keep the integers in one side, we get
$ \Rightarrow - x + 2x = 11 - 5$,
Now simplifying the numbers in the right hand side, we get
$ \Rightarrow x = 6$

Therefore, the unknown value of $x$ is $6$.

Note: An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value. The most basic and common algebraic equations in math consist of one or more variables. An algebraic equation or polynomial equation is an equation in which both sides are polynomials. These are further classified by degree; linear equation for degree one, quadratic equation for degree two and cubic equation for degree three.
The given equation is a linear equation with one unknown variable that is $x$. We solved this problem by finding the value of $x$. We need to be careful about the signs. If we take the negative term to the other side of equal to symbol then it will turn to positive and vice versa.