Sure! Let's solve the equation [tex]\(8x + 6 = 10\)[/tex] step-by-step.
1. Write down the original equation:
[tex]\[
8x + 6 = 10
\][/tex]
2. Subtract 6 from both sides of the equation to isolate the term with the variable [tex]\(x\)[/tex]:
[tex]\[
8x + 6 - 6 = 10 - 6
\][/tex]
Simplifying both sides, we get:
[tex]\[
8x = 4
\][/tex]
3. Divide both sides of the equation by 8 to solve for [tex]\(x\)[/tex]:
[tex]\[
\frac{8x}{8} = \frac{4}{8}
\][/tex]
Simplifying both sides, we have:
[tex]\[
x = \frac{4}{8}
\][/tex]
4. Simplify the fraction [tex]\(\frac{4}{8}\)[/tex]:
[tex]\[
x = \frac{1}{2}
\][/tex]
So, the solution to the equation [tex]\(8x + 6 = 10\)[/tex] is:
[tex]\[
x = \frac{1}{2}
\][/tex]
