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Solve 20x = 8x + 1440

How to solve 20x = 8x + 1440? Get the answer and stepwise instruction to solve linear equation in one one variable 𝒙.

Steps for finding the solution

We have 20x + 0 = 8x + 1440

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

Therefore, 20x - 8x = 1440 - 0

or, 12x = 1440

Next, divide both sides by 12, which is the coefficent of x

Note: if a = b, then a ÷ c = b ÷ c

12x/12 = 1440/12

x = 1440/12

To simplify, divide both numerator and denominator by 12, which is the GCF of 1440 and 12:

x = 120/1 or, x = 120

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