[tex]{\huge\color{yellow}{\boxed{\fcolorbox{lime}{black}{❤︎ᎯℕЅᏇᗴᖇ❦︎}}}}[/tex]

To determine the value of [tex]x[/tex] in the equation [tex]\frac{x}{3} + \frac{5}{2} = \frac{7}{4}[/tex], we can start by isolating [tex]x[/tex] on one side of the equation.

First, let's simplify the equation by finding a common denominator for the fractions. The common denominator for 3, 2, and 4 is 12. We can rewrite the equation as:

[tex]\frac{4x}{12} + \frac{30}{12} = \frac{21}{12}[/tex]

Next, we can combine the fractions on the left-hand side of the equation:

[tex]\frac{4x + 30}{12} = \frac{21}{12}[/tex]

To eliminate the denominators, we can multiply both sides of the equation by 12:

[tex]12 \times \frac{4x + 30}{12} = 12 \times \frac{21}{12}[/tex]

Simplifying further:

[tex]4x + 30 = 21[/tex]

Now, let's isolate [tex]x[/tex] by subtracting 30 from both sides:

[tex]4x + 30 - 30 = 21 - 30[/tex]

Simplifying:

[tex]4x = -9[/tex]

Finally, divide both sides by 4 to solve for [tex]x[/tex]:

[tex]\frac{4x}{4} = \frac{-9}{4}[/tex]

[tex]x = \frac{-9}{4}[/tex]

Therefore, the value of [tex]x[/tex] in the equation [tex]\frac{x}{3} + \frac{5}{2} = \frac{7}{4}[/tex] is [tex]x = \frac{-9}{4}[/tex].

[tex]{\huge\color{blue}{\boxed{\fcolorbox{cyan}{lavender}{✌︎TᕼᗩᑎK YOᑌ}}}}[/tex]

hope it's helps you dear ✨...