Sure! Let's solve for \(\( x \)\) in the equation \(\( 7x + 31 = 90 \)\).
We will go through the solution step by step:
1. Write down the original equation:
\(\[
7x + 31 = 90
\]\)
2. Isolate the term that contains \(\( x \)\) by subtracting 31 from both sides of the equation:
\(\[
7x + 31 - 31 = 90 - 31
\]\)
\(\[
7x = 59
\]\)
3. Solve for \(\( x \)\) by dividing both sides of the equation by 7:
\(\[
x = \frac{59}{7}
\]\)
4. Simplify the fraction if possible:
\(\[
x = 8.428571428571429 \quad (\text{if you want the decimal representation})
\]\)
or
\(\[
x = \frac{59}{7} \quad (\text{if you prefer the fractional form})
\]\)
Thus, the solution is:
\(\[
x = \frac{59}{7} \quad \text{or} \quad x \approx 8.43 \quad (\text{rounded to two decimal places})
\]\)
