Question

What is the value of x? 0.9(x+1.4)−2.3+0.1x=1.6 Enter the answer as a decimal in the box.

Answer 1

Answer: The value of x is 2.64.

Step-by-step explanation:

Since we have given that

`0.9(x+1.4)-2.3+0.1x=1.6`

We need to find the value of x ,so,

We just use the distributive law which says that

`a(b+c)=ab+ac`

and then collect the like terms and solve it ,

So,

`0.9x+1.26-2.3+0.1x=1.6\\\\1x-1.04=1.6\\\\x=1.6+1.04\\\\x=2.64`

So, the value of x is 2.64.

Answer 2

Consider the equation
`0.9(x+1.4)-2.3+0.1x=1.6.`

1. Simplify it:

`0.9x+0.9\cdot 1.4-2.3+0.1x=1.6,\\ 0.9x+1.26-2.3+0.1x=1.6.`

2. Rewrite the equation such that tems with x stay in left side and numbers are in right side:

`0.9x+0.1x=1.6-1.26+2.3,\\ (0.9+0.1)x=2.64,\\ x=2.64.`

Answer: x=2.64.