Solutions by everydaycalculation.com
How to solve x + 1 = 3x - 6? Get the answer and stepwise instruction to solve linear equation in one variable 𝒙.
We have x + 1 = 3x - 6
First, we move the x terms to the LHS and constant terms to the RHS of the equation, inverting the sign on the terms. This is also called transposing method.
Transposition is a faster method and combines the following two steps, were we to solve the equation by:
i) Subtracting 1 from both sides
ii) Subtracting 3x from both sides
Therefore, x - 3x = -6 - 1
or, -2x = -7
Next, divide both sides by -2, which is the coefficent of xNote: if a = b, then a ÷ c = b ÷ c
-2x/-2 = -7/-2
x = -7/-2 or, x = 3.5