5a+10(a+2)+25(a+9)=645

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Solution for 5a+10(a+2)+25(a+9)=645 equation: 


Simplifying
5a + 10(a + 2) + 25(a + 9) = 645

Reorder the terms:
5a + 10(2 + a) + 25(a + 9) = 645
5a + (2 * 10 + a * 10) + 25(a + 9) = 645
5a + (20 + 10a) + 25(a + 9) = 645

Reorder the terms:
5a + 20 + 10a + 25(9 + a) = 645
5a + 20 + 10a + (9 * 25 + a * 25) = 645
5a + 20 + 10a + (225 + 25a) = 645

Reorder the terms:
20 + 225 + 5a + 10a + 25a = 645

Combine like terms: 20 + 225 = 245
245 + 5a + 10a + 25a = 645

Combine like terms: 5a + 10a = 15a
245 + 15a + 25a = 645

Combine like terms: 15a + 25a = 40a
245 + 40a = 645

Solving
245 + 40a = 645

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-245' to each side of the equation.
245 + -245 + 40a = 645 + -245

Combine like terms: 245 + -245 = 0
0 + 40a = 645 + -245
40a = 645 + -245

Combine like terms: 645 + -245 = 400
40a = 400

Divide each side by '40'.
a = 10

Simplifying
a = 10

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