# Solve an equation

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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:

To solve an equation means to determine its truth set within the considered universe set.

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

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

9x = -10

How , then .

• Being , solve equation 2. (x - 2) - 3.(1 - x) = 2.(x - 4).

We start by applying the distributive property of multiplication:

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

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

3x = -1

How , then

Next: Impossible Equations and Identities