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How to solve 5x + 40 = 12x - 3? Get the answer and stepwise instruction to solve linear equation in one one variable 𝒙.
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 xNote: if a = b, then a ÷ c = b ÷ c
-7x/-7 = -43/-7
x = -43/-7 or, x = 6.14