# 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. $$x + \frac{(3x - 1)}{9} - 4 = \frac{3x + 1}{3}$$

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Step 1
The given problem is equation.
$$\displaystyle{x}+{\frac{{{3}{x}-{1}}}{{{9}}}}-{4}={\frac{{{3}{x}+{1}}}{{{3}}}}$$
we need to solve the given equation.
$$\displaystyle{x}+{\frac{{{3}{x}-{1}}}{{{9}}}}-{4}={\frac{{{3}{x}+{1}}}{{{3}}}}$$
$$\displaystyle{\frac{{{9}{x}}}{{{9}}}}+{\frac{{{3}{x}-{1}}}{{{9}}}}-{\frac{{{4}\times{9}}}{{{9}}}}={\frac{{{3}{x}+{1}}}{{{3}}}}$$
$$\displaystyle{\frac{{{9}{x}+{3}{x}-{1}-{36}}}{{{9}}}}={\frac{{{3}{x}+{1}}}{{{3}}}}$$
Step 2
12x-37=3(3x+1)
12x-37=9x+3
12x-9x=37+3
3x=40
$$\displaystyle{x}={\frac{{{40}}}{{{3}}}}$$