Question

2.3+0.02(x+20)-4.8=-9 Solve for x

Answer 1

Answer:

$x=-345$

Step-by-step explanation:

$2.3+0.02\left(x+20\right)-4.8=-9$

$\mathrm{Multiply\:both\:sides\:by\:}100$

$2.3\cdot \:100+0.02\left(x+20\right)\cdot \:100-4.8\cdot \:100=-9\cdot \:100$

$230+2\left(x+20\right)-480=-900$

$\mathrm{Subtract\:}230-480\mathrm{\:from\:both\:sides}$

$230+2\left(x+20\right)-480-\left(230-480\right)=-900-\left(230-480\right)$

$2\left(x+20\right)=-650$

$\mathrm{Divide\:both\:sides\:by\:}2$

$\frac{2\left(x+20\right)}{2}=\frac{-650}{2}$

$x+20=-325$

$\mathrm{Subtract\:}20\mathrm{\:from\:both\:sides}$

$x+20-20=-325-20$

$\bold{x=-345}$