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Solving an equation consists of performing a series of operations that lead us to increasingly simple equivalent equations that allow us to determine the elements of the **truth set **or the **roots of the equation**. Summing up:

In solving an equation of the 1st degree with an unknown, we must apply the principles of equivalence of equality (additive and multiplicative). Examples:

Being , solve the equation .

MMC (4,6) = 12

-9*x* = 10 => Multiplier by (-1)

9*x* = -10

How , then .

Being , solve equation 2. (

*x*- 2) - 3.(1 -*x*) = 2.(*x*- 4).

We start by applying the distributive property of multiplication:

2*x* - 4 - 3 + 3*x* = 2*x* - 8

2*x* + 3*x* -2*x* = - 8 + 4 + 3

3*x* = -1

How , then

Next: Impossible Equations and Identities