Question

2/3(4x-1)-(4x-1/2-3x/2)=x/2-7/2

Answer 1

Answer:

x=10

Step-by-step explanation:

2/3(4x-1)-(4x-1/2-3x/2)=x/2-7/2

⇒(8x-2)/3 -(8x-1-3x)/2 = (x-7)/2

⇒{(16x-4) - (15x-3)}/6 = (x-7)/2

⇒(x-1)/6 = (x-7)/2

⇒2x-2 = 6x-42

⇒4x=40

⇒x=10

Answer 2

$\frac{2}{3}(4x - 1) - (4x - \frac{1}{2} - \frac{3x}{2} ) = \frac{x}{2} - \frac{7}{2}$
$\frac{8x}{3} - \frac{2}{3} - \frac{8x}{2 } + \frac{1}{2} + \frac{3x}{2} = \frac{x}{2} - \frac{7}{2}$
$\frac{8x}{3} -\frac{2}{3} = \frac{x}{2} - \frac{7}{2} + \frac{8x}{2} + \frac{1}{2} + \frac{3x}{2}$
$\frac{8x}{3} - \frac{2}{3} = \frac{12x}{2} - \frac{6}{2}$
$16x - 4 = 36x - 18$
$14 = 20x$
$\frac{7}{10} = x$