# When 142 is added to a number, the result is 64 more than 3 times the number. Find the number.

Question
Equations and inequalities
When 142 is added to a number, the result is 64 more than 3 times the number. Find the number.

2020-11-02
Let x be the number.
Adding 142 to the number gives x+142.
3 times the number is 3x so 64 more than 3 times the number is 3x+64.
If these two values are equal, then:
x+142=3x+64
x+142−x=3x+64−x
142=2x+64
142−64=2x+64−64
$$\displaystyle{\frac{{{78}}}{{{2}}}}={\frac{{{2}{x}}}{{{2}}}}$$
39=x
The number is then 39

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