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Natasha_Volkova [10]
3 years ago
13

What is the value of x in the equation 0.2(x + 1) + 0.5x = –0.3(x – 4)?

Mathematics
2 answers:
Leokris [45]3 years ago
8 0
 0.2(x + 1) + 0.5x = -0.3(x - 4) 

0.2x+0.2+0.5x=-0.3x+1.2

 
 

0.7x+0.2=-0.3x+1.2 

0.7x=-0.3x+1.2-0.2 

0.7x=-0.3x+1 

0.7x+0.3x=1 

x=1
Leviafan [203]3 years ago
7 0

Answer:  The required value of x is 1.

Step-by-step explanation:  We are given to solve the value of x in the following equation :

0.2(x+1)+0.5x=-0.3(x-4)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

To find the value of x in the above equation, we must solve the equation (i) as follows :

0.2(x+1)+0.5x=-0.3(x-4)\\\\\Rightarrow 0.2x+0.2+0.5x=-0.3x+1.2\\\\\Rightarrow 0.7x+0.2=-0.3x+1.2\\\\\Rightarrow 0.7x+0.3x=1.2-0.2\\\\\Rightarrow x=1.

Thus, the required value of x is 1.

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