Question

Solve for x in simplest form.
12, equals, one half, left parenthesis, 3, x, minus, 4, right parenthesis
12= 1/2 (3x−4)

Answer 1

To solve the equation \( 12 = \frac{1}{2} (3x - 4) \), follow these steps:

1. **Eliminate the fraction**: Multiply both sides by 2 to get rid of the fraction.

\[
2 \times 12 = 2 \times \frac{1}{2} (3x - 4)
\]

This simplifies to:

\[
24 = 3x - 4
\]

2. **Isolate the term with \( x \)**: Add 4 to both sides to move the constant term.

\[
24 + 4 = 3x
\]

This simplifies to:

\[
28 = 3x
\]

3. **Solve for \( x \)**: Divide both sides by 3.

\[
x = \frac{28}{3}
\]

Thus, the solution in simplest form is:

\[
x = \frac{28}{3}
\]