Question

Solve : 2x-1/3=x+2/2

please help me
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Answer 1

Answer:

x=8

Step-by-step explanation:

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

4x-2 = 3x+6

4x-3x = 6+2

x = 8

Answer 2

Question

Solve : 2x-1/3=x+2/2

please help me

Solution

$2x - \frac{1}{3} = x + \frac{2}{2} \\ \\ here \: 2 \div 2 = 1 \: \\ \\ 2x - \frac{1}{3} = x + 1 \\ \\ now \: we \: - \frac{1}{3} \: t o \: left \: hand \: side \: from \: right \: hand \: side \: so \: it \: becomes \: + ve \: \\ \\ simillarly \: we \: sent \: x \: from \: right \: hand \: to \: left \: hand \: side \: it \: becomes \: - ve \: \\ \\ \\ 2x - x = 1 + \frac{1}{3} \\ \\ as \: we \: know \: 2x - x = x \\ andon \: right \: hand \: side \: we \: take \: lcm \: of \: 3 \: and \: 1 \: which \: is \: 3 \\ \\ x = \frac{3 + 1}{3} \\ when \: we \: add \: 3 + 1 = 4 \: \: \\ \\ therefore \: x = \frac{4}{3}$

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