Solutions by everydaycalculation.com
How to solve 2x + 8 = 6x? Get the answer and stepwise instruction to solve linear equation in one one variable 𝒙.
We have 2x + 8 = 6x + 0
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 8 from both sides
ii) Subtracting 6x from both sides
Therefore, 2x - 6x = 0 - 8
or, -4x = -8
Next, divide both sides by -4, which is the coefficent of xNote: if a = b, then a ÷ c = b ÷ c
-4x/-4 = -8/-4
x = -8/-4
To simplify, divide both numerator and denominator by 4, which is the GCF of 8 and 4:
x = -2/-1 or, x = 2