Question

please solve it math​

Answer 1

Given :

•Simplify :

$\\ \bf \bullet \: \frac{x + 4}{5} + \frac{x - 3}{8} = \frac{x + 4}{8} + \frac{x + 3}{3}$

To Find :

• The value of x =?

Solution :

$\\ \bullet \bf \: \frac{x + 4}{5} + \frac{x - 3}{8} = \frac{x + 4}{8} + \frac{x + 3}{3}$

$\\ \implies \sf \: \frac{x + 4}{5} + \frac{x - 3}{8} = \frac{x + 4}{8} + \frac{x + 3}{3} \\ \\ \implies \sf \: \frac{x + 4}{5} + \frac{x - 3}{8} - \frac{x + 4}{8} - \frac{x + 3}{3} = 0 \\ \\ \implies \sf \: \frac{x + 4}{5} + \frac{x - 3 - x - 4}{8} - \frac{x + 3}{3} = 0 \\ \\ \implies \sf \: \frac{x + 4}{5} + \bigg(\frac{ - 7}{8} \bigg) - \frac{x + 3}{3} = 0 \\ \\ \implies \sf \: \frac{x + 4}{5} - \frac{x + 3}{3} = \frac{7}{8} \\ \\ \implies \underline{ \red{ \bf{by \: cross \: multiplication :}}} \\ \\ \implies \sf \: \frac{3x + 12 - (5x + 15)}{15} = \frac{7}{8} \\ \\ \implies \sf \: \frac{ - 2x - 3}{15} = \frac{7}{8} \\ \\ \implies \sf \: 8( - 2x - 3) = 15 \times 7 \\ \\ \implies \sf \: - 16x - 24 = 105 \\ \\ \implies \sf \: - 16x - 24 - 105 = 0 \\ \\ \implies \sf \: - 16x - 129 = 0 \\ \\ \implies \sf \: 16x = - 129 \\ \\ \implies \boxed{ \sf{x = \frac{ - 129}{16} }}$

The value of x is = $\sf{\dfrac{-129}{16} }$