I am thinking of a number. I multiply it by 14 and add 13. I get the same answer if I multiply by 5

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I am thinking of a number. I multiply it by 14 and add 13. I get the same answer if I multiply by 5 and add 283. What is my number?

Let the number be n. We're given two expressions:

1. Multiply it by 14 and add 13: 14n + 13
2. Multiply by 5 and add 283: 5n + 283

The phrase I get the same answer means an equation. So we set expression 1 equal to expression 2:
14n + 13 = 5n + 283

To solve for n, we type this equation into our search engine and we get:
n = 30