Question

How do you solve \[14+6a-8=18\]?

Answer 1

Hint: The given equation has only one variable term to its left side, all other terms are constant. As the highest power for the given question is one, its degree is also one, thus it is a linear equation. To solve a linear equation, we have to take all the variable terms to one side of the equation, and leave constants to the other side. By this, we can find the solution value of the equation.

Complete step by step solution:
We are given the equation \[14+6a-8=18\], we have to solve it. As we know to solve a linear equation, we have to take all the variable terms to one side of the equation and leave constants to the other side. This equation has only one variable term to its one side, hence
\[14+6a-8=18\]
Simplifying the left side of the above equation, we get
\[\Rightarrow 6+6a=18\]
Subtracting 6 from both sides of the above equation, we get
\[\Rightarrow 6a=12\]
Dividing both sides of the above equation by 15, we get
\[\Rightarrow a=2\]
Hence, the solution of the above equation is \[a=2\].

Note:
This equation has only one variable term on its left side, so we just need to take the constant terms to the other side. For a random one variable linear equation, there can be more than one variable term. So, we need to take them to one side to simplify the equation. To check if the solution is correct or not, substitute the value on both sides. If both sides give the same result, the solution is correct.