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Solve 5x + 40 = 12x - 3

How to solve 5x + 40 = 12x - 3? Get the answer and stepwise instruction to solve linear equation in one one variable 𝒙.

Steps for finding the solution

We have 5x + 40 = 12x - 3

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 40 from both sides
ii) Subtracting 12x from both sides

Therefore, 5x - 12x = -3 - 40

or, -7x = -43

Next, divide both sides by -7, which is the coefficent of x

Note: if a = b, then a ÷ c = b ÷ c

-7x/-7 = -43/-7

x = -43/-7 or, x = 6.14

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𝒙 =

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