Question

How do you solve $7x + 1 = 4x + 7$?

Answer 1

Hint: Given an expression. We have to find the value of the expression. First, we will isolate the terms with the variable on one side of the equation and constant terms on the other sides of the equation. Then, simplify the equation by dividing both sides of the equation with the constant term and solve for the variable.

Complete step-by-step answer:
We are given the expression $7x + 1 = 4x + 7$. First, subtract $4x$ from both sides of the equation to isolate $x$ on one side of the equation.
$ \Rightarrow 7x + 1 - 4x = 4x + 7 - 4x$
On combining like terms, we get:
$ \Rightarrow 3x + 1 = 7$
Now, subtract $1$ from both sides of the expression.
$ \Rightarrow 3x + 1 - 1 = 7 - 1$
On simplifying the expression, we get:
$ \Rightarrow 3x = 6$
Now, we will divide both sides by $3$.
$ \Rightarrow \dfrac{{3x}}{3} = \dfrac{6}{3}$
On simplifying the expression, we get:
$ \Rightarrow x = 2$

Hence, the solution of the expression is $x = 2$

Additional information: In the linear equation, the degree of the variable is always one. The solution of the linear equation is determined by combining like terms and isolating the same kind of variable on one side of the equation and other variable and constant terms on another side of the equation. Then, we will apply the multiplication or division operation to reduce the terms on both sides of the equation in the lowest or simplified form.

Note:
In such types of questions the students mainly don't get an approach on how to solve it. In such types of questions students mainly forget to apply the correct operation on the equation such that the expression is simplified. Students may get confused while isolating the variables on one side of the equation and constant terms on the other side of the equation.