Certainly! Let's solve the equation [tex]\(2x + 11.9 = 25.9\)[/tex] step by step.
1. Isolate the term with the variable [tex]\(x\)[/tex]:
[tex]\[
2x + 11.9 = 25.9
\][/tex]
To isolate the term with [tex]\(x\)[/tex], we need to eliminate the constant term [tex]\(11.9\)[/tex] from the left-hand side. We do this by subtracting [tex]\(11.9\)[/tex] from both sides of the equation:
[tex]\[
2x + 11.9 - 11.9 = 25.9 - 11.9
\][/tex]
Simplifying both sides, we get:
[tex]\[
2x = 14
\][/tex]
2. Solve for [tex]\(x\)[/tex]:
Now we have a simpler equation:
[tex]\[
2x = 14
\][/tex]
To solve for [tex]\(x\)[/tex], we need to isolate [tex]\(x\)[/tex] by dividing both sides of the equation by the coefficient of [tex]\(x\)[/tex], which is [tex]\(2\)[/tex]:
[tex]\[
\frac{2x}{2} = \frac{14}{2}
\][/tex]
Simplifying both sides, we obtain:
[tex]\[
x = 7
\][/tex]
Given this detailed step-by-step solution, the value of [tex]\(x\)[/tex] is [tex]\(7\)[/tex].
