Question

4 x + 5/7=3 x - 2/8
solve the equation​

Answer 1

${\huge{\mathfrak{\underbrace{\blue{Question:-}}}}}$

$4x + \frac{5}{7} = 3x - \frac{2}{8}$

$\\\huge\underbrace{ \mathbb\red{A} \green{n}\mathbb\blue{s} \purple{w} \mathbb \orange{e}\pink{r}:-}\:$

$4x + \frac{5}{7} = 3x - \frac{2}{8} \\ \frac{28x + 5}{7} = \frac{24x - 2}{8} \\ 8(28x + 5) = 7(24x - 2) \\ 224x + 40 = 168x - 14 \\ 224x - 168x = - 14 - 40 \\ 56x = - 54 \\ x = \frac{56}{54} \\ x = \frac{28}{27}$

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$\\\huge\underline{ \mathbb\blue{Please}\:\mathbb\green{Mark}\:\mathbb\orange{As}}\:$

$\huge\underline{ \mathbb\red{Brilliant}\:\mathbb\purple{Answers}}$

Answer 2

Answer:

$\huge \blue{\sf{ \underline{{♤question \ \: : }}}}$

$\bf4x + \frac{5}{7} = 3x - \frac{2}{8}$

$\huge \blue{\sf{ \underline{{♤to \: find \ \: : }}}}$

$\blue \bull\bf \: the \: value \: of \: (x)$

$\huge \blue{\sf{ \underline{{♤solution \ \: : }}}}$

$\to\bf4x + \frac{5}{7} = 3x - \frac{2}{8}$

$\bf \to4x - 3x = - \frac{2}{8 } - \frac{5}{7}$

$\purple{ \boxed{ \sf{lcm \: of \: (7.8) \: is \:56 }}}$

$\bf \to x = ( \frac{2}{8} \times \frac{7}{7} )- (\frac{5}{7} \times \frac{8}{8} )$

$\bf \to x = - \frac{14}{ 56} - \frac{40}{56}$

$\bf \to x = \frac{ - 14 - 40}{56}$

$\red{ \bf{ \to x = \frac{ - 54}{ \: \: \: \: 56} }}$

${ \bf{ \to x = \frac{ - \not 5 \not4}{ \: \: \: \: \not 5 \not6} }}$

$\purple{ \sf {\to \: x = \frac{ - 27}{ \: \: 28} }}$

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