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Solve 6x + 9 = 3x + 6

How to solve 6x + 9 = 3x + 6? Get the answer and stepwise instruction to solve linear equation in one variable 𝒙.

Steps for finding the solution

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 x

Note: 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

Solve another equation

𝒙 =

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