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How to solve 9x = 5x + 20? Get the answer and stepwise instruction to solve linear equation in one one variable 𝒙.

We have 9**x** + 0 = 5**x** + 20

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 5**x** from both sides

Therefore, 9**x** - 5**x** = 20 - 0

or, 4**x** = 20

Next, divide both sides by 4, which is the coefficent of **x**

4**x**4 = 204

**x** = 204

To simplify, divide both numerator and denominator by 4, which is the GCF of 20 and 4:

**x** = 51 or, **x** = 5

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