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].