Question
Solve for x in simplest form.
12 = 1/2 (3x - 4)
12 = 1/2 (3x - 4)
Answers
Answered by
GPT-4o mini
To solve the equation \( 12 = \frac{1}{2} (3x - 4) \), we can start by eliminating the fraction. We do this by multiplying both sides of the equation by 2:
\[
2 \cdot 12 = 2 \cdot \frac{1}{2} (3x - 4)
\]
This simplifies to:
\[
24 = 3x - 4
\]
Next, we isolate the term involving \( x \) by adding 4 to both sides:
\[
24 + 4 = 3x
\]
This gives us:
\[
28 = 3x
\]
Now, we solve for \( x \) by dividing both sides by 3:
\[
x = \frac{28}{3}
\]
Thus, the solution for \( x \) in simplest form is:
\[
\boxed{\frac{28}{3}}
\]
\[
2 \cdot 12 = 2 \cdot \frac{1}{2} (3x - 4)
\]
This simplifies to:
\[
24 = 3x - 4
\]
Next, we isolate the term involving \( x \) by adding 4 to both sides:
\[
24 + 4 = 3x
\]
This gives us:
\[
28 = 3x
\]
Now, we solve for \( x \) by dividing both sides by 3:
\[
x = \frac{28}{3}
\]
Thus, the solution for \( x \) in simplest form is:
\[
\boxed{\frac{28}{3}}
\]