Question

solve the following equation and check
2x+14/3x+6=4​

Answer 1

Answer:

x=-1 ☑️

Step-by-step explanation:

$\frac{2x + 14}{3x + 6} = 4 \\ 2x + 14 = 4(3x + 6) \\ 2x + 14 = 12x + 24 \\ 14 - 24 = 12x - 2x \\ - 10 = 10x \\ x = - 1$

Verification:

$\frac{2( - 1) + 14}{3( - 1) + 6} = \frac{ - 2 + 14}{ - 3 + 6} \\ = \frac{ 12}{ 3} = 4$

Hope this helps✌️

Answer 2

$\huge{\underline{\underline{\sf{\red{SOLUTION:-}}}}}$

$\sf{\underline{\pink{Given:-}}}$

$\sf{\dfrac{2x + 14}{3x + 6} = \dfrac{4}{1} }$

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$\sf{\underline{\blue{Explanation:-}}}$

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$\sf{\dfrac{2x + 14}{3x + 6} = \dfrac{4}{1} }$

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$\longrightarrow \sf {2x + 14 = 12x + 24}$

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$\longrightarrow \sf {2x - 12x = 24 - 14}$

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$\longrightarrow \sf {-10x = 10}$

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$\longrightarrow \sf {x = \dfrac{10}{-10} }$

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$\longrightarrow \sf {x = -1}$