(a+3)*5-(2a+8)*2=5

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Solution for (a+3)*5-(2a+8)*2=5 equation: 


Simplifying
(a + 3) * 5 + -1(2a + 8) * 2 = 5

Reorder the terms:
(3 + a) * 5 + -1(2a + 8) * 2 = 5

Reorder the terms for easier multiplication:
5(3 + a) + -1(2a + 8) * 2 = 5
(3 * 5 + a * 5) + -1(2a + 8) * 2 = 5
(15 + 5a) + -1(2a + 8) * 2 = 5

Reorder the terms:
15 + 5a + -1(8 + 2a) * 2 = 5

Reorder the terms for easier multiplication:
15 + 5a + -1 * 2(8 + 2a) = 5

Multiply -1 * 2
15 + 5a + -2(8 + 2a) = 5
15 + 5a + (8 * -2 + 2a * -2) = 5
15 + 5a + (-16 + -4a) = 5

Reorder the terms:
15 + -16 + 5a + -4a = 5

Combine like terms: 15 + -16 = -1
-1 + 5a + -4a = 5

Combine like terms: 5a + -4a = 1a
-1 + 1a = 5

Solving
-1 + 1a = 5

Solving for variable 'a'.

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

Add '1' to each side of the equation.
-1 + 1 + 1a = 5 + 1

Combine like terms: -1 + 1 = 0
0 + 1a = 5 + 1
1a = 5 + 1

Combine like terms: 5 + 1 = 6
1a = 6

Divide each side by '1'.
a = 6

Simplifying
a = 6

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