You have the correct sequence of reasons
Here's what the full step by step picture looks like
3.25(1.25x + 0.5) = 10.5 ................ given
4.0625x + 1.625 = 10.5 ................ distributive property
4.0625x = 8.875 ................ subtraction property of equality
x = 2.18461538461539 ....... division property of equality
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Notes:
- The decimal value of x is approximate. Round it however you need.
- In the third step, we subtracted 1.625 from both sides
- In the fourth step, we divide both sides by 4.0625