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