10-4[(2a+5)-(20+10a)]-2a=0

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Solution for 10-4[(2a+5)-(20+10a)]-2a=0 equation: 


Simplifying
10 + -4[(2a + 5) + -1(20 + 10a)] + -2a = 0

Reorder the terms:
10 + -4[(5 + 2a) + -1(20 + 10a)] + -2a = 0

Remove parenthesis around (5 + 2a)
10 + -4[5 + 2a + -1(20 + 10a)] + -2a = 0
10 + -4[5 + 2a + (20 * -1 + 10a * -1)] + -2a = 0
10 + -4[5 + 2a + (-20 + -10a)] + -2a = 0

Reorder the terms:
10 + -4[5 + -20 + 2a + -10a] + -2a = 0

Combine like terms: 5 + -20 = -15
10 + -4[-15 + 2a + -10a] + -2a = 0

Combine like terms: 2a + -10a = -8a
10 + -4[-15 + -8a] + -2a = 0
10 + [-15 * -4 + -8a * -4] + -2a = 0
10 + [60 + 32a] + -2a = 0

Combine like terms: 10 + 60 = 70
70 + 32a + -2a = 0

Combine like terms: 32a + -2a = 30a
70 + 30a = 0

Solving
70 + 30a = 0

Solving for variable 'a'.

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

Add '-70' to each side of the equation.
70 + -70 + 30a = 0 + -70

Combine like terms: 70 + -70 = 0
0 + 30a = 0 + -70
30a = 0 + -70

Combine like terms: 0 + -70 = -70
30a = -70

Divide each side by '30'.
a = -2.333333333

Simplifying
a = -2.333333333

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