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Solve 6x + 5 = 2x + 17

How to solve 6x + 5 = 2x + 17? Get the answer and stepwise instruction to solve linear equation in one one variable 𝒙.

Steps for finding the solution

We have 6x + 5 = 2x + 17

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 = 17 - 5

or, 4x = 12

Next, divide both sides by 4, which is the coefficent of x

Note: if a = b, then a ÷ c = b ÷ c

4x/4 = 12/4

x = 12/4

To simplify, divide both numerator and denominator by 4, which is the GCF of 12 and 4:

x = 3/1 or, x = 3

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𝒙 =

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