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.
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.
Answer: The value of x is 2.64.
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.