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How to solve 5x - 3 = 3x - 5? Get the answer and stepwise instruction to solve linear equation in one variable 𝒙.
We have 5x - 3 = 3x - 5
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) Adding 3 to both sides
ii) Subtracting 3x from both sides
Therefore, 5x - 3x = -5 + 3
or, 2x = -2
Next, divide both sides by 2, which is the coefficent of x
Note: if a = b, then a ÷ c = b ÷ c2x2 = -22
x = -22
To simplify, divide both numerator and denominator by 2, which is the GCF of 2 and 2:
x = -11 or, x = -1
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