Question

x-4/7-x+4/5=x+3/7 equations​

Answer 1

take LCM than simplify the equation. do sross multiplication and the equation is in simple form.

Answer 2

Question :-

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

Find the value of "x" ,

Answer :-

→ x = -9

Explanation :-

$\rightarrow \: \sf{ \frac{x - 4}{7} - \frac{x + 4}{5} = \frac{x + 3}{7} } \\ \\ \rightarrow \sf{ \frac{5(x - 4) - 7(x + 4)}{35} = \frac{x + 3}{7} } \\ \\ \rightarrow \sf{ \frac{5x - 20 - 7x - 28}{35} = \frac{x + 3}{7} } \\ \\ \rightarrow \sf{\frac{ - 48 - 2x}{35} = \frac{x + 3}{7} } \\ \\ \rightarrow \sf{ 7( - 48 - 2x) = 35(x + 3)} \\ \\ \rightarrow \sf{ - 48 - 2x = 5x + 15} \\ \\ \rightarrow \sf{ - 48 - 15 = 5x + 2x} \\ \\ \rightarrow \sf{ - 63 = 7x} \\ \\ \rightarrow \boxed{\sf{x \: = -9}}$

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For verification :-

Put x = -9 ,

$\rightarrow \: \sf{ \frac{ - 9 - 4}{7} - \frac{ - 9 + 4}{5} = \frac{ - 9 + 3}{7} } \\ \: \\ \rightarrow \: \frac{ - 13}{7} + \frac{5}{5} = \frac{ - 6}{7} \\ \\ \rightarrow \: \frac{ -13}{7} + 1 = \frac{ - 6}{7} \\ \\ \rightarrow \: \frac{ - 13 + 7}{7} = \frac{ - 6}{7} \\ \\ \rightarrow \: \frac{ - 6}{7} = \frac{ - 6}{7}$

Hence verified .

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