Find the solution of the equation rounded to two decimals. 2.14(x-4.06)=2.27-0.11x

Decimals
Find the solution of the equation rounded to two decimals.
$$2.14(x-4.06)=2.27-0.11x$$

2021-05-18
Step 1
Explanation - Rewrite the given expression,
$$2.14(x-4.06)=2.27-011x$$
Now, simplifying the above expression by breaking the paraentheses bracket, we get,
$$2.14x-4.06\cdot2.14=2.27-0.11x$$
$$2.14x-8.6884=2.27-0.11x$$
$$2.14x+0.11x=2.27+8.6884$$
$$2.25x=10.9584$$
$$x=\frac{10.9584}{2.25}$$
$$x=4.87$$
So, the solution of the above expression is 4.87.
Answer: Hence, the solution of the expression $$2.14(x-4.06)=2.27-0.11x$$ is 4.87.