Solutions by everydaycalculation.com
How to solve 3x - 6 = x + 2? Get the answer and stepwise instruction to solve linear equation in one one variable 𝒙.
We have 3x - 6 = x + 2
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) Adding 6 to both sides
ii) Subtracting x from both sides
Therefore, 3x - x = 2 + 6
or, 2x = 8
Next, divide both sides by 2, which is the coefficent of xNote: if a = b, then a ÷ c = b ÷ c
2x/2 = 8/2
x = 8/2
To simplify, divide both numerator and denominator by 2, which is the GCF of 8 and 2:
x = 4/1 or, x = 4