Solutions by everydaycalculation.com
How to solve 6x + 5 = 2x + 7? Get the answer and stepwise instruction to solve linear equation in one one variable 𝒙.
We have 6x + 5 = 2x + 7
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 5 from both sides
ii) Subtracting 2x from both sides
Therefore, 6x - 2x = 7 - 5
or, 4x = 2
Next, divide both sides by 4, which is the coefficent of xNote: if a = b, then a ÷ c = b ÷ c
4x/4 = 2/4
x = 2/4
To simplify, divide both numerator and denominator by 2, which is the GCF of 2 and 4:
x = 1/2 or, x = 0.5