Question

$\frac{4x}{3 } - 1 = \frac{14}{15} x + \frac{19}{5}$​

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Value\:of\:x=12}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline{\bold{Given :}}} \\ \tt: \implies \frac{4x}{3 } - 1 = \frac{14}{15} x + \frac{19}{5} \\ \\ \red{\underline{\bold{To \: Find :}}} \\ \tt: \implies value \: of \: x =?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies \frac{4x}{3 } - 1 = \frac{14}{15} x + \frac{19}{5} \\ \\ \tt: \implies \frac{4x}{3} - \frac{14x}{15} = \frac{19}{5} + 1 \\ \\ \tt: \implies \frac{4x \times 5 - 14x}{15} = \frac{19 + 1 \times 5}{5} \\ \\ \tt: \implies \frac{20x - 14x}{15} = \frac{19 + 5}{5} \\ \\ \tt: \implies \frac{6x}{15} = \frac{24}{5} \\ \\ \tt: \implies \frac{6x}{24} = \frac{15}{5} \\ \\ \tt: \implies \frac{x}{4} = 3 \\ \\ \tt: \implies x = 3 \times 4 \\ \\ \green{\tt: \implies x = 12}$