Answer :

To solve the equation [tex]\(4x - 9 = 15\)[/tex], follow these steps:

1. Isolate the term with [tex]\(x\)[/tex]:
Start by isolating the term with [tex]\(x\)[/tex] on one side of the equation. To do this, add 9 to both sides of the equation.

[tex]\[ 4x - 9 + 9 = 15 + 9 \][/tex]

Simplifying this, we get:

[tex]\[ 4x = 24 \][/tex]

2. Solve for [tex]\(x\)[/tex]:
Next, divide both sides of the equation by 4 to solve for [tex]\(x\)[/tex].

[tex]\[ x = \frac{24}{4} \][/tex]

Simplifying this, we find:

[tex]\[ x = 6 \][/tex]

Therefore, the solution to the equation [tex]\(4x - 9 = 15\)[/tex] is [tex]\(x = 6\)[/tex].