Question

find the value of x in 3x(x+4) = 6 (7x -2)

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

$\mathrm{3\left(x+4\right)=6\left(7x-2\right)\quad :\quad x=\frac{8}{13}\quad \left(\mathrm{Decimal}:\quad x=0.61538\dots \right)}$

Step-by-step explanation:

$\mathrm{3\left(x+4\right)=6\left(7x-2\right)}$

$\mathrm{3x+12=42x-12}$

$\mathrm{Subtract\:}12\mathrm{\:from\:both\:sides}$

$\mathrm{3x+12-12=42x-12-12}$

$\mathrm{3x=42x-24}$

$\mathrm{Subtract\:}42x\mathrm{\:from\:both\:sides}$

$\mathrm{3x-42x=42x-24-42x}$

$-\mathrm{39x=-24}$

$\mathrm{Divide\:both\:sides\:by\:}-39$

$\mathrm{\frac{-39x}{-39}=\frac{-24}{-39}}$

$\mathrm{x=\frac{8}{13}}$