Question

$0.5 + x\3 = 0.25x + 7$
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Answer 1

Answer:

$0.5 + \frac{x}{3} = 0.25x + 7 \\ \\ = > \frac{1}{2} + \frac{x}{3} = \frac{1}{4} x + 7 \\ \\ = > \frac{x}{3} - \frac{1}{4} x = 7 - \frac{1}{2} \\ \\ = > \frac{x}{3} - \frac{x}{4} = \frac{14 - 1}{2} \\ \\ = > \frac{4x - 3x}{12} = \frac{13}{2} \\ \\ = > \frac{x}{12} = \frac{13}{2} \\ \\ = > x = 13 \times \frac{12}{2} \\ \\ = > x = 13 \times 6 = 78$

Answer 2

$\sf{Solution:-}$

0.5x + $\sf\dfrac{x}{3}$ = 0.25x + 7

Take LCM To the LHS

$\sf\dfrac{1.5 + x }{3}$ = 0.25x + 7

Do cross multiplication

1.5 + x = 3 (0.25x + 7)

1.5 + x = 0.75x + 21

Tranpose like terms to a side

1.5 - 21 = 0.75x - x

- 19.5 = -0.25 x

- cancel on both sides

19.5 = 0.25x

$\sf\dfrac{19.5}{0.25}$ = x

Remove decimal

$\sf\dfrac{195}{10}$÷$\sf\dfrac{25}{100}$ = x

$\sf\dfrac{195}{10}$ × $\sf\dfrac{100}{25}$ = x

$\sf\dfrac{1950}{25}$ = x

Cancel on 5 table

$\sf\dfrac{390}{5}$=x

x = 78

So, the value of x is78