Question

the solution of the equation
$3x - \frac{1}{2} = \frac{5}{2} + x \: is$


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Answer 1

Answer:

3x-1/2=5/2+x

3x-x=5/2+1/2=6/2=3

2x=3

x=3/2

Answer 2

Answer:

$\bf\bullet\; x = \frac{3}{2}$

Step-by-step explanation:

$\bf\bullet 3 - \frac{1}{2} = \frac{5}{2} + x$

$\dashrightarrow\sf \; 3x - \frac{1}{2} = \frac{5}{2} + x \\\\\\\dashrightarrow\sf \; 3x - x = \frac{5}{2} + \frac{1}{2} \\\\\\\dashrightarrow\sf \; 2x = \frac{5+1}{2} \\\\\\\dashrightarrow\sf \; 2x = \frac{6}{2} \\\\\\\dashrightarrow\sf \; 2x = \cancel\frac{6}{2} \\\\\\\dashrightarrow\sf \; 2x = 3\\\\\\\dashrightarrow\sf \; x = \frac{3}{2} \\\\\\\boxed{\bf{Hence,\; the\; value \; of \; x \; is \; \frac{3}{2}}}$