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Solve 3x - 6 = x + 2

How to solve 3x - 6 = x + 2? Get the answer and stepwise instruction to solve linear equation in one one variable 𝒙.

Steps for finding the solution

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 x

Note: 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

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𝒙 =

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