$3 (2 x - 1) = \frac{1}{2} (x + 6)$

Answer

$x = \frac{12}{11}$

Explanation

3 (2 x - 1) 6 x - 3 2 \cdot 6 x - 2 \cdot 3 12 x - 6 12 x - x 11 x x = \frac{1}{2} (x + 6) = \frac{x + 6}{2} = 2 \cdot \frac{x + 6}{2} = x + 6 = 6 + 6 = 12 = \frac{12}{11} simplify left and right hand side multiply ALL terms by 2 . cancel out the denominators move the x to the left side and - 6 to the right simplify left and right hand side divide both sides by 11

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3(2x−1)=21​(x+6)

x=1112​

$3 (2 x - 1) = \frac{1}{2} (x + 6)$

$x = \frac{12}{11}$