# The product of a number and seven is equal to two more than the number

Question
Equations and inequalities
The product of a number and seven is equal to two more than the number

2021-03-19
Let x be the number so we can write the equation:
$$\displaystyle{\left({x}\right)}{\left({7}\right)}={x}+{2}$$
or
$$\displaystyle{7}{x}={x}+{2}$$
Subtract x from both sides:
$$\displaystyle{6}{x}={2}$$
Divide both sides by 6:
$$\displaystyle{x}={\frac{{{2}}}{{{6}}}}$$
$$\displaystyle{x}={\frac{{{1}}}{{{3}}}}$$
So, the number is \frac{1}{3}.

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