Question

solve 5(x-2)+4(x+1)=3(x+5)​

Answer 1

Answer:

5x-10+4x+4=3x+15

9x-6=3x+15

9x-3x=15+6

3x=21

x=21/3

x=7

Answer 2

$\sf\huge\bold{Solution}$

$\sf\longmapsto5(x - 2) + 4(x + 1) = 3(x + 5)$

$\sf\longmapsto5x - 10 + 4x + 4 = 3x + 15$

$\sf\longmapsto9x - 6 = 3x + 15$

$\sf\longmapsto9x - 3x = 15 + 6$

$\sf\longmapsto6x = 21$

$\sf\longmapsto \: x = \dfrac{21}{6} = \dfrac{7}{2}$

Check

Taking L.H.S

$\sf\longmapsto5\bigg( \dfrac{7}{2} - 2\bigg) + 4\bigg( \dfrac{7}{2} + 1\bigg)$

$\sf\longmapsto5\bigg( \dfrac{7 - 4}{2} \bigg) + 4\bigg( \dfrac{7 + 2}{2}\bigg )$

$\sf\longmapsto5 \times \dfrac{3}{2} + 4 \times \dfrac{9}{2}$

$\sf\longmapsto \dfrac{15}{2} + \dfrac{36}{2} = \dfrac{51}{2}$

Taking R.H.S

$\sf\longmapsto3\bigg( \dfrac{7}{2} + 5\bigg)$

$\sf\longmapsto3\bigg( \dfrac{7 + 10}{2} \bigg)$

$\sf\longmapsto3\bigg( \dfrac{17}{2}\bigg )$

$\sf\longmapsto \dfrac{51}{2}$