Respuesta :
The variable must be completely isolated, that is, with coefficient one, for example, in the case of this question x. If it is −x, we multiply both sides of the equation by minus one, making it positive.
Solution:
3x−5=2x+6
First, subtract 2x to both sides of equality.
3x−5−2x=2x+6−2x
Simplifying, we have:
x−5=6
Lastly, subtract 5 from both sides of equality.
x−5+5=6+5
Simplifying, we have:
x = 11.
The solution of inequality for x is the number such that substituting that number for x yields the true statement. So 4 is the solution for example 1, but 8 is not. The solution set of inequality is the set of all solutions. The last type of equation is known as a contradiction, also known as an unsolvable equation. This kind of equation is never true no matter what you replace the variables with. As an example, consider 3x + 5 = 3x - 5. This equation has no solution.
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