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Solve 43x + 7 = 5x + 3

How to solve 43x + 7 = 5x + 3? Get the answer and stepwise instruction to solve linear equation in one one variable 𝒙.

Steps for finding the solution

We have 43x + 7 = 5x + 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 7 from both sides
ii) Subtracting 5x from both sides

Therefore, 43x - 5x = 3 - 7

or, 38x = -4

Next, divide both sides by 38, which is the coefficent of x

Note: if a = b, then a ÷ c = b ÷ c

38x/38 = -4/38

x = -4/38

To simplify, divide both numerator and denominator by 2, which is the GCF of 4 and 38:

x = -2/19 or, x = -0.11

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𝒙 =

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