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Solve 2x + 8 = 6x

How to solve 2x + 8 = 6x? Get the answer and stepwise instruction to solve linear equation in one one variable 𝒙.

Steps for finding the solution

We have 2x + 8 = 6x + 0

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 8 from both sides
ii) Subtracting 6x from both sides

Therefore, 2x - 6x = 0 - 8

or, -4x = -8

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

Note: if a = b, then a ÷ c = b ÷ c

-4x/-4 = -8/-4

x = -8/-4

To simplify, divide both numerator and denominator by 4, which is the GCF of 8 and 4:

x = -2/-1 or, x = 2

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