Question

Solve the following equation:-

$\boxed{ \huge\mathfrak{ \frac{3x + 6}{2x - 8} = \frac{5}{6} }}$
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Answer 1

Answer:

Hello mate, answer is here!!

Explanation:

$\boxed{\huge \green{ \mathfrak{answer}}}$

$\huge \mathtt{ \frac{3x + 6}{2x - 8} = \frac{5}{6} } \\ \\ \huge \mathtt{6(3x + 6) = 5(2x - 8)} \\ \\ \huge\mathtt {18x + 36 = 10x - 40} \\ \\ \huge \mathtt{18x - 10x = - 40 - 36} \\ \\ \huge \mathtt{8x = - 76} \\ \\ \huge \mathtt{x = \frac{ - 76}{8}} \\ \\ \huge \blue{ \mathfrak{x = 9.5}}$

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Answer 2

$\huge\frak{\underline{\underline{\red{Solution:-}}}}$

Step 1:-

Cross multiply,

$\red{\implies\:\:}$  $\rm{\dfrac{3x+6}{2x-8} =\dfrac{5}{6} }$

$\red{\implies\:\:}$  $\rm{(3x+6) \times (6)=5 \times (2x-8) }$

$\red{\implies\:\:}$  $\rm{18x+36=10x-40 }$

Step 2:-

Subtract 10x from both sides,

$\pink{\implies\:\:}$  $\rm{18x+36-10x=10x-4-10x }$

$\pink{\implies\:\:}$  $\rm{8x+36 =-40}$

Step 3:-

Subtract 36 from both sides,

$\purple{\implies\:\:}$  $\rm{8x+36 -36=-40\:-36}$

$\purple{\implies\:\:}$  $\rm{8x=-76}$

Step 4:-

Divide both sides by 8,

$\green{\implies\:\:}$  $\rm{\dfrac{8x}{8} =\dfrac{-76}{8} }$

$\green{\implies\:\:}$  $\rm{x=\dfrac{-19}{2}  }$

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