Question

How do you solve \[-3x+1=-8\]?

Answer 1

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

Complete step by step answer:
As per the given question, we are provided with an equation that is to be simplified to get the solution of the equation. A solution is that which when substituted back into the equation, both the sides of the equation will be equal. Here, the given equation is \[-3x+1=-8\].
In the given equation, we have to isolate x by subtracting 1 to both sides of the equation. Here, subtraction of 1 from 1 is nothing which is equal to zero. And, the addition of -8 with -1 is equal to -9. Then, on substituting these values, we get
\[\Rightarrow -3x+1-1=-8-1\]\[\to -3x+0=-9\]\[\to -3x=-9\]
Now, we have to take the x-coefficient -3 to the right-hand side. As we know that the division of -9 by -3 is equal to 3, we can rewrite the equation as
\[\Rightarrow -3x=-9\to x=\dfrac{-9}{-3}\to x=3\]
\[\therefore x=3\] is the required solution of \[-3x+1=-8\].

Note:
We can rather solve the given equation by shifting to the right-hand side of the equation and then simplifying on the right-hand side to get \[-9\]. We can get the solution as \[-3x+1=-8\to -3x=-8-1=-9\to x=\dfrac{-9}{-3}=3\]. This is a three-step solution that involves only three steps to go towards the solution. We should avoid
calculation mistakes to get the correct solution.