Question

5 x minus 7 upon 3X equal to 2

Answer 1

$\frac{5x - 7}{3x} = 2$

$= 5x - 7 = 2(3x)$

$= 5x - 7 = 6x$

$= - 7 = 6x - 5x$

$= x = ( -7)$

Hence, the value of x is -7.

Answer 2

Answer:

$\displaystyle\frac{5x-7}{3x}=2\quad :\quad x=-7$

Step-by-step explanation:

$\dfrac{5x-7}{3x}=2$

$\gray{\mathrm{Multiply\:both\:sides\:by\:}3x}$

$\dfrac{5x-7}{3x}\cdot \:3x=2\cdot \:3x$

$\gray{\mathrm{Simplify}}$

$5x - 7=6x$

$\gray{\mathrm{Add\:}7\mathrm{\:to\:both\:sides}}$

$5x-7+7=6x+7$

$\gray{\mathrm{Simplify}}$

$5x=6x+7$

$\gray{\mathrm{Subtract\:}6x\mathrm{\:from\:both\:sides}}$

$5x-6x=6x+7-6x$

$\gray{\mathrm{Simplify}}$

$-x=7$

$\gray{\mathrm{Divide\:both\:sides\:by\:}-1}$

$\dfrac{-x}{-1}=\dfrac{7}{-1}$

$\gray{\mathrm{Simplify}}$

$x=-7$