Question

8x/3 = x - 5 solve the following equations

Answer 1

8x/3 = x - 5

8x = 3x - 15

5x = - 15

x = -3

Answer 2

Answer:

$8\cdot \dfrac{x}{3}=x-5\quad :\quad x=-3$

Step-by-step explanation:

$8\cdot \dfrac{x}{3}=x-5$

$\mathrm{Refine\:}8\cdot \dfrac{x}{3}:\quad \dfrac{8x}{3}$

$\dfrac{8x}{3}=x-5$

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

$\dfrac{8x}{3}\cdot \:3=x\cdot \:3-5\cdot \:3$

$\mathrm{Simplify}$

$8x=3x-15$

$\mathrm{Subtract\:}3x\mathrm{\:from\:both\:sides}$

$8x-3x=3x-15-3x$

$\mathrm{Simplify}$

$5x=-15$

$\mathrm{Divide\:both\:sides\:by\:}5$

$\dfrac{5x}{5}=\dfrac{-15}{5}$

$\mathrm{Simplify}$

$x=-3$