a+(a+5)+(b*2)=75

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Solution for a+(a+5)+(b*2)=75 equation: 


Simplifying
a + (a + 5) + (b * 2) = 75

Reorder the terms:
a + (5 + a) + (b * 2) = 75

Remove parenthesis around (5 + a)
a + 5 + a + (b * 2) = 75

Reorder the terms for easier multiplication:
a + 5 + a + (2b) = 75

Reorder the terms:
5 + a + a + (2b) = 75

Combine like terms: a + a = 2a
5 + 2a + (2b) = 75

Solving
5 + 2a + (2b) = 75

Solving for variable 'a'.

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

Add '-5' to each side of the equation.
5 + 2a + -5 + (2b) = 75 + -5

Reorder the terms:
5 + -5 + 2a + (2b) = 75 + -5

Combine like terms: 5 + -5 = 0
0 + 2a + (2b) = 75 + -5
2a + (2b) = 75 + -5

Combine like terms: 75 + -5 = 70
2a + (2b) = 70

Add '(-2b)' to each side of the equation.
2a + (2b) + (-2b) = 70 + (-2b)

Combine like terms: (2b) + (-2b) = 0
2a + 0 = 70 + (-2b)
2a = 70 + (-2b)

Divide each side by '2'.
a = 35 + (-1b)

Simplifying
a = 35 + (-1b)

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