Solutions by everydaycalculation.com
How to solve 6x + 9 = 3x + 6? Get the answer and stepwise instruction to solve linear equation in one variable 𝒙.
We have 6x + 9 = 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 9 from both sides
ii) Subtracting 3x from both sides
Therefore, 6x - 3x = 6 - 9
or, 3x = -3
Next, divide both sides by 3, which is the coefficent of xNote: if a = b, then a ÷ c = b ÷ c
3x/3 = -3/3
x = -3/3
To simplify, divide both numerator and denominator by 3, which is the GCF of 3 and 3:
x = -1/1 or, x = -1