Certainly! Let's solve the given equation step-by-step.
We have the equation:
[tex]\[
\frac{2x}{3} = 8
\][/tex]
1. Remove the Fraction:
To eliminate the fraction, we need to multiply both sides of the equation by 3. This gives:
[tex]\[
3 \cdot \frac{2x}{3} = 8 \cdot 3
\][/tex]
2. Simplify the Left Side:
On the left side, the 3s cancel out, leaving:
[tex]\[
2x = 24
\][/tex]
3. Isolate [tex]\(x\)[/tex]:
Now, we need to solve for [tex]\(x\)[/tex]. To do this, we'll divide both sides of the equation by 2:
[tex]\[
\frac{2x}{2} = \frac{24}{2}
\][/tex]
4. Simplify:
Simplifying both sides, we get:
[tex]\[
x = 12
\][/tex]
Thus, the solution to the equation [tex]\(\frac{2x}{3} = 8\)[/tex] is [tex]\(x = 12\)[/tex].
