Question

Solve this equation if you know​

Answer 1

$\large\bf\underline\red{Answer \: :-}$

According to the question, first we take LCM of left side ( easy to solve ).

$\sf\longrightarrow{ \frac{2x - 3}{5} + \frac{x + 3}{4} = \frac{4x + 1}{7} } \\ \\ \\ \sf\longrightarrow{ \frac{4(2x - 3) + 5(x + 3)}{5 \times 4} = \frac{4x + 1}{7} } \\ \\ \\ \sf\longrightarrow{ \frac{8x - 12 + 5x + 15}{20} = \frac{4x + 1}{7} } \\ \\ \\ \sf\longrightarrow{ \frac{13x + 3}{20} = \frac{4x + 1}{7} } \\ \\ \\ \sf\longrightarrow{7(13x + 3) = 20(4x + 1)} \\ \\ \\ \sf\longrightarrow{91x + 21 = 80x + 20} \\ \\ \\ \sf\longrightarrow{91x - 80x + 21 - 20 = 0} \\ \\ \\ \sf\longrightarrow{11x + 1 = 0} \\ \\ \\ \sf\longrightarrow{11x = - 1} \\ \\ \\ \sf\longrightarrow{ \boxed{ \bf \pink{x = \frac{ - 1}{11} }}}$

Answer is -1/11.

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