Question
Solve for x in simplest form. \[ 12=\frac{1}{2}(3 x-4) \]
Ask by Harper Floyd. in the United States
Feb 04,2025
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Answer
\( x = \frac{28}{3} \)
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To solve for \( x \) in the equation \( 12=\frac{1}{2}(3x-4) \), first multiply both sides by 2 to eliminate the fraction: \[ 24 = 3x - 4. \] Next, add 4 to both sides: \[ 24 + 4 = 3x \] which simplifies to \[ 28 = 3x. \] Finally, divide both sides by 3 to isolate \( x \): \[ x = \frac{28}{3}. \] Therefore, the solution in simplest form is \[ x = \frac{28}{3}. \] Now you've got it!