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

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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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.