To solve the equation [tex]\(7x - 5 = 26\)[/tex], let's follow a step-by-step approach:
### Step 1: Isolate the term containing [tex]\(x\)[/tex]
First, we need to isolate the term with the variable [tex]\(x\)[/tex]. To do this, we'll eliminate the constant term on the left side of the equation by adding 5 to both sides:
[tex]\[
7x - 5 + 5 = 26 + 5
\][/tex]
This simplifies to:
[tex]\[
7x = 31
\][/tex]
### Step 2: Solve for [tex]\(x\)[/tex]
Now that we have isolated [tex]\(7x\)[/tex], we need to solve for [tex]\(x\)[/tex] by dividing both sides of the equation by 7, which is the coefficient of [tex]\(x\)[/tex]:
[tex]\[
x = \frac{31}{7}
\][/tex]
### Step 3: Simplify the result
Dividing 31 by 7 gives us:
[tex]\[
x \approx 4.428571428571429
\][/tex]
Therefore, the solution to the equation [tex]\(7x - 5 = 26\)[/tex] is:
[tex]\[
x \approx 4.428571428571429
\][/tex]
