Solutions by everydaycalculation.com
How to solve 9x = 5x + 20? Get the answer and stepwise instruction to solve linear equation in one one variable 𝒙.
We have 9x + 0 = 5x + 20
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 0 from both sides
ii) Subtracting 5x from both sides
Therefore, 9x - 5x = 20 - 0
or, 4x = 20
Next, divide both sides by 4, which is the coefficent of xNote: if a = b, then a ÷ c = b ÷ c
4x/4 = 20/4
x = 20/4
To simplify, divide both numerator and denominator by 4, which is the GCF of 20 and 4:
x = 5/1 or, x = 5