Answer :

Sure! Let's solve this equation step-by-step.

We are given the equation:

[tex]\[ 5.5 + 2.75 = 4.75x + 7.5 \][/tex]

1. First, we'll simplify the left side by adding the numbers together:

[tex]\[ 5.5 + 2.75 = 8.25 \][/tex]

So now the equation is:

[tex]\[ 8.25 = 4.75x + 7.5 \][/tex]

2. Next, we'll isolate the term with [tex]\( x \)[/tex] on one side. To do this, subtract 7.5 from both sides:

[tex]\[ 8.25 - 7.5 = 4.75x \][/tex]

Simplifying the left side, we get:

[tex]\[ 0.75 = 4.75x \][/tex]

3. Finally, to solve for [tex]\( x \)[/tex], divide both sides by 4.75:

[tex]\[ x = \frac{0.75}{4.75} \][/tex]

Calculating this gives us:

[tex]\[ x \approx 0.15789473684210525 \][/tex]

So, the solution to the equation is approximately [tex]\( x = 0.1579 \)[/tex].