Question

x_6 + x_4 = x - 7



this is in fraction pls find this answer step by step​

Answer 1

$\large\sf\underline{Given:}$

• $\sf\:\frac{x}{6}+\frac{x}{4}=x-7$

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$\large\sf\underline{To\:find:}$

• Value of x = ??

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$\large\sf\underline{Solution:}$

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$\sf➞\:\frac{x}{6}+\frac{x}{4}=x-7$

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• LCM of 6 and 4

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$\sf➞\:\frac{(2×x)+(3×x)}{12}=x-7$

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$\sf➞\:\frac{2x+3x}{12}=x-7$

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$\sf➞\:\frac{5x}{12}=x-7$

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• Cross multiplying

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$\sf➞\:12(x-7)=5x$

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$\sf➞\:12x-84=5x$

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• Transporting 5x and 84 to other side

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$\sf➞\:12x-5x=84$

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$\sf➞\:7x=84$

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• Transporting 7 to other side

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$\sf➞\:x=\frac{84}{7}$

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$\sf➞\:x=\cancel{\frac{84}{7}}$

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${\sf{{\pink{➻\:x=12}}}}$

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!! Hope it helps !!