Question

a)1/2*X-1/3=1/3*X
b)1/2(1/2(1/2x-1)-1)+1=5/4
*=ORI
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Answer 1

b) x=1/8,
a) x=2
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Answer 2

a)
$\frac{1}{2} \times x - \frac{1}{3} = \frac{1}{3} \times x$

$\frac{x}{2} - \frac{1}{3} = \frac{x}{3}$

$\frac{3x - 2}{6} = \frac{2x}{6}$

$3x - 2 = 2x$

$3x - 2x = 2$
$x = 2$

b)
$\frac{1}{2} ( \frac{1}{2} ( \frac{x}{2} - 1) - 1) + 1 = \frac{5}{4}$

$\frac{1}{2} ( \frac{1}{2} \times \frac{x - 2}{2} - 1) + 1 = \frac{5}{4}$

$\frac{1}{2} ( \frac{x - 2}{4} - 1) + 1 = \frac{5}{4}$
$\frac{1}{2} \times \frac{x - 2 - 4}{4} + 1 = \frac{5}{4}$
$\frac{1}{2} \times \frac{x - 6}{4} = \frac{5 - 4}{4}$
$\frac{x - 6}{8} = \frac{1}{4}$
$4 \times (x - 6) = 8$
$4x - 24 = 8$

$x = 8$