Question

How do you solve \[7+3x=5\]?

Answer 1

Hint: An equation can be solved by taking all the constants one side and unknowns to the other side. The constant side must be solved step-by-step to get through the solution. We need to do the addition, subtraction, multiplication and division operations in such a way to simplify the equation.

Complete step by step answer:
As per the given question, we are provided with an equation to find its solution. We call it the solution of a given equation, which when substituted back into the equation, both sides will be equal. Here, the given equation is \[7+3x=5\].
Our main goal is to find the value of x. So, first we need to isolate x. In this case, we have to do this by subtracting 7 on both the sides of the equation. Then, we can rewrite the given equation as
\[\Rightarrow 7+3x-7=5-7\]
On subtracting 7 from 7 equals to zero and when subtracting 7 from 5, we get -2. So, we can rewrite the equation as
\[\begin{align}
  & \Rightarrow 3x+0=-2 \\
 & \Rightarrow 3x=-2 \\
\end{align}\]
After simplifying to isolate x, we need to divide both sides of the equation by 3 so that we get the variable itself. Hence, we can rewrite the equation as shown.
\[\Rightarrow \dfrac{3}{3}x=-\dfrac{2}{3}\]
In the left hand side of the equation, 3 in both numerator and denominator gets cancelled by each other. On the right side of the equation, we have a fraction value.
\[\Rightarrow x=-\dfrac{2}{3}\]
\[\therefore x=-\dfrac{2}{3}\] is the solution of the equation \[7+3x=5\].

Note:
We can rather solve the given equation by simply dividing 9 by 3 and then subtracting it from 8, gives the solution. This is a two-step solution which involves just two steps towards the solution. We must avoid calculation mistakes to get the correct results.