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X will equal to 3.
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You can use same value's addition or subtraction and then division to obtain the value of unknown x.

The solution of the given equation is given by

[tex]x = 3[/tex]

What is a solution of a given equation?

Generally the equation contains variables. Solution of that given equation means on which values of those variables, does that equation proves correct.

How to find the solution of given equation?

We will try to do addition and division such that x is left alone on one side and constant values are left alone on other side.

Remember that same value's addition on both side, or same value's division on both side don't break the equality of both sided expression.

We can solve the equation as follows

[tex]92x + 1 = 93x - 2\\\\\text{Adding 2 - 92x on both the sides}\\\\92x + 1 +2 - 92x = 93x - 2 + 2 - 92x\\3 = (93-92)x\\x = 3[/tex]

Thus,

The solution of the given equation is given by

[tex]x = 3[/tex]

Learn more about solutions of such equations here:

https://brainly.com/question/6196569

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