Determine whether the given problem is an equation or an expression. If it is an

Efan Halliday 2021-09-28 Answered

Determine whether the given problem is an equation or an expression. If it is an equation, then solve. If it is an expression, then simplify. \(3x-1 + \frac{2}{7}(7x-2) = -\frac{11}{7}\)

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Expert Answer

ensojadasH
Answered 2021-09-29 Author has 17101 answers
Step 1
The given \(\displaystyle{3}{x}-{1}+{\frac{{{2}}}{{{7}}}}{\left({7}{x}-{2}\right)}=-{\frac{{{11}}}{{{7}}}}\).
The given phrase is an equation because it has an equal sign.
\(\displaystyle{3}{x}-{1}+{\frac{{{2}}}{{{7}}}}{\left({7}{x}-{2}\right)}=-{\frac{{{11}}}{{{7}}}}\)
\(\displaystyle{\frac{{{7}{\left({3}{x}-{1}\right)}+{2}{\left({7}{x}-{2}\right)}}}{{{7}}}}=-{\frac{{{11}}}{{{7}}}}\)
7(3x−1)+2(7x−2)=−11
21x−7+14x−4=−11
Step 2
Now, separate the variables on left side and constant of right side
21x+14x=−11+7+4
35x=−11+11
35x=0
x=0
Therefore, the value of x=0.
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