Question

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

Decimals
ANSWERED
asked 2021-05-17
Find the solution of the equation rounded to two decimals.
\(2.14(x-4.06)=2.27-0.11x\)

Answers (1)

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.
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