45=(10+a)+(5-2a)

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Solution for 45=(10+a)+(5-2a) equation:


Simplifying
45 = (10 + a) + (5 + -2a)

Remove parenthesis around (10 + a)
45 = 10 + a + (5 + -2a)

Remove parenthesis around (5 + -2a)
45 = 10 + a + 5 + -2a

Reorder the terms:
45 = 10 + 5 + a + -2a

Combine like terms: 10 + 5 = 15
45 = 15 + a + -2a

Combine like terms: a + -2a = -1a
45 = 15 + -1a

Solving
45 = 15 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
45 + a = 15 + -1a + a

Combine like terms: -1a + a = 0
45 + a = 15 + 0
45 + a = 15

Add '-45' to each side of the equation.
45 + -45 + a = 15 + -45

Combine like terms: 45 + -45 = 0
0 + a = 15 + -45
a = 15 + -45

Combine like terms: 15 + -45 = -30
a = -30

Simplifying
a = -30

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