Question

Solve 0.05p-0.02(5-2p)=0.05(p-2)-0.12

Answer 1

$0.05p-0.02(5-2p)=0.05(p-2)-0.12$ 

$0.05p-0.02(5-2p)=0.05(p-2)-0.12:p$ 

$0.05p-0.1+0.04p=0.05p-0.1-0.12$  $|Expand \ the \ equation|$ 

$0.09p-0.1=0.05p-0.1-0.12$ 

$0.09p-0.1=0.05p-0.22$ 

$0.09p-0.1-0.05p=-0.22$  $|Subtract \ 0.05p \ from \ both \ sides|$ 

$0.04p-0.1=-0.22$ 

$0.04p=-0.22+0.1$  $|Add \ 0.1 \ to \ both \ sides|$ 

$0.04p=-0.12$ 

$0.04p/0.04=-0.12/0.04$  $|Divide \ both \ sides \ by \ 0.04|$ 

$p=-3$ 

$\star \ Hence \ Solved$