Question

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

Answer 1

`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`

Answer 2

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.