Question

solve this equation:-​

Answer 1

Answer:

$\tt x = 2.66$

Step-by-step explanation:

We have,

$\tt 8 \bigg( \dfrac{6x}{9} -3 \bigg) - \dfrac{2}{3} \bigg( \dfrac{5}{9} + 6x \bigg)= \dfrac{2}{4}$

$\tt 8 \bigg( \dfrac{2x}{3} -3 \bigg) - \dfrac{2}{3} \bigg( \dfrac{5}{9} + 6x \bigg)= \dfrac{1}{2}$

$\tt 8 \bigg( \dfrac{2x-9}{3} \bigg) - \dfrac{2}{3} \bigg( \dfrac{5+54x}{9} \bigg)= \dfrac{1}{2}$

$\tt \dfrac{8(2x-9)}{3} - \dfrac{2(5+54x)}{3×9} = \dfrac{1}{2}$

$\tt \dfrac{8(2x-9)}{3} - \dfrac{2(5+54x)}{27} = \dfrac{1}{2}$

$\tt \dfrac{72(2x-9)-2(5+54x)}{27} = \dfrac{1}{2}$

$\tt 72(2x-9)-2(5+54x) = \dfrac{27}{2}$

$\tt 144x-648-10+108x = \dfrac{27}{2}$

$\tt 252x-658 = \dfrac{27}{2}$

$\tt 252x = \dfrac{27}{2}+658$

$\tt 252x = \dfrac{27+1316}{2}$

$\tt 252x = \dfrac{1343}{2}$

$\tt x = \dfrac{1343}{2×252}$

$\tt x = \dfrac{1343}{504}$

$\tt x = 2.66$