Question

solve 0.6x-504000÷800000 = 0.6x-216000÷1050000

Answer 1

Answer:

$\displaystyle\frac{\left(0.6x-504000\right)}{800000}=\frac{\left(0.6x-216000\right)}{1050000}\quad :\quad x=2376000$

Step-by-step explanation:

$\displaystyle\frac{\left(0.6x-504000\right)}{800000}=\frac{\left(0.6x-216000\right)}{1050000}$

$\gray{\mathrm{Multiply\:both\:sides\:by\:}100000}$

$\displaystyle\frac{\left(0.6x-504000\right)}{800000}\cdot \:100000=\frac{\left(0.6x-216000\right)}{1050000}\cdot \:100000$

$\gray{\mathrm{Simplify}}$

$\displaystyle\frac{0.6x-504000}{8}=\frac{2\left(0.6x-216000\right)}{21}$

$\displaystyle\gray{\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c}$

$\left(0.6x-504000\right)\cdot \:21=8\cdot \:2\left(0.6x-216000\right)$

$\gray{\mathrm{Simplify}}$

$\left(0.6x-504000\right)\cdot \:21=16\left(0.6x-216000\right)$

$\gray{\mathrm{Expand\:}\left(0.6x-504000\right)\cdot \:21:\quad 12.6x-10584000}$

$\gray{\mathrm{Expand\:}16\left(0.6x-216000\right):\quad 9.6x-3456000}$

$12.6x-10584000=9.6x-3456000$

$\gray{\mathrm{Add\:}10584000\mathrm{\:to\:both\:sides}}$

$12.6x-10584000+10584000=9.6x-3456000+10584000$

$\gray{\mathrm{Simplify}}$

$12.6x=9.6x+7128000$

$\gray{\mathrm{Subtract\:}9.6x\mathrm{\:from\:both\:sides}}$

$12.6x-9.6x=9.6x+7128000-9.6x$

$\gray{\mathrm{Simplify}}$

$3x=7128000$

$\gray{\mathrm{Divide\:both\:sides\:by\:}3}$

$\displaystyle\frac{3x}{3}=\frac{7128000}{3}$

$\gray{\mathrm{Simplify}}$

$x=2376000$