Answer :

Certainly! Let's solve the equation step-by-step.

We start with the expression:
[tex]\[4x + 6\][/tex]

To find [tex]\(x\)[/tex], let's assume we need to solve for [tex]\(x\)[/tex] when the expression equals zero:
[tex]\[4x + 6 = 0\][/tex]

Now, follow these steps:

1. Subtract 6 from both sides of the equation:
[tex]\[4x + 6 - 6 = 0 - 6\][/tex]
Simplifying this gives:
[tex]\[4x = -6\][/tex]

2. Divide both sides by 4 to isolate [tex]\(x\)[/tex]:
[tex]\[\frac{4x}{4} = \frac{-6}{4}\][/tex]
Simplifying this:
[tex]\[x = -\frac{6}{4}\][/tex]

3. Simplify the fraction [tex]\(\frac{-6}{4}\)[/tex]:
[tex]\[x = -\frac{3}{2}\][/tex]

Therefore, the value of [tex]\(x\)[/tex] is:
[tex]\[x = -\frac{3}{2}\][/tex]

This is the solution to the equation [tex]\(4x + 6 = 0\)[/tex].

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