Question

solve the equation
$\frac{2x + 14}{3x + 6} = 4$
​

Answer 1

Given :

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

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Solution :

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

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

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$\:\:\:\:\:\dashrightarrow\:\sf{2x\:+\:14\:=\:(3x\:+\:6)\:4}$

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

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

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$\:\:\:\:\:\dashrightarrow\:\sf{-10x\:=\:10}$

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$\:\:\:\:\:\:\:\dashrightarrow\:\sf{\underline{\boxed{\sf{x\:=\:-1}}}}\:\pink\bigstar$

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$\:\:\:\:\:\:\:\therefore\:\sf{\underline{\sf{Hence,\:the\:value\:of\:x\:is\:{\textsf{\textbf{-1}}}}}}.$

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Answer 2

Answer:

$\frac{2x + 14}{3x + 6} = 4$

$or \: 2x + 14 = 4(3x + 6)$

$or \: 2x + 14 = 12x + 24$

$or \: 2x - 12x = 24 - 14$

$or \: - 10x = 10$

$x = - 1$

HAVE A GOOD DAY!