Let's solve the equation [tex]\(5x + 4x = 18\)[/tex] step by step.
1. Combine like terms:
The equation [tex]\(5x + 4x = 18\)[/tex] has similar terms involving [tex]\(x\)[/tex]. We can combine these terms to simplify the equation.
[tex]\[
(5x + 4x) = 18
\][/tex]
This simplifies to:
[tex]\[
9x = 18
\][/tex]
2. Isolate the variable [tex]\(x\)[/tex]:
To solve for [tex]\(x\)[/tex], we need to isolate the variable on one side of the equation. Since [tex]\(9x\)[/tex] means [tex]\(9\)[/tex] times [tex]\(x\)[/tex], we divide both sides of the equation by [tex]\(9\)[/tex]:
[tex]\[
\frac{9x}{9} = \frac{18}{9}
\][/tex]
3. Simplify:
Simplifying both sides:
[tex]\[
x = 2
\][/tex]
Therefore, the solution to the equation [tex]\(5x + 4x = 18\)[/tex] is:
[tex]\[
x = 2
\][/tex]
