(a+2+3)*(a+3)=a*(a+2)+105

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Solution for (a+2+3)*(a+3)=a*(a+2)+105 equation: 


Simplifying
(a + 2 + 3)(a + 3) = a(a + 2) + 105

Reorder the terms:
(2 + 3 + a)(a + 3) = a(a + 2) + 105

Combine like terms: 2 + 3 = 5
(5 + a)(a + 3) = a(a + 2) + 105

Reorder the terms:
(5 + a)(3 + a) = a(a + 2) + 105

Multiply (5 + a) * (3 + a)
(5(3 + a) + a(3 + a)) = a(a + 2) + 105
((3 * 5 + a * 5) + a(3 + a)) = a(a + 2) + 105
((15 + 5a) + a(3 + a)) = a(a + 2) + 105
(15 + 5a + (3 * a + a * a)) = a(a + 2) + 105
(15 + 5a + (3a + a2)) = a(a + 2) + 105

Combine like terms: 5a + 3a = 8a
(15 + 8a + a2) = a(a + 2) + 105

Reorder the terms:
15 + 8a + a2 = a(2 + a) + 105
15 + 8a + a2 = (2 * a + a * a) + 105
15 + 8a + a2 = (2a + a2) + 105

Reorder the terms:
15 + 8a + a2 = 105 + 2a + a2

Add '-1a2' to each side of the equation.
15 + 8a + a2 + -1a2 = 105 + 2a + a2 + -1a2

Combine like terms: a2 + -1a2 = 0
15 + 8a + 0 = 105 + 2a + a2 + -1a2
15 + 8a = 105 + 2a + a2 + -1a2

Combine like terms: a2 + -1a2 = 0
15 + 8a = 105 + 2a + 0
15 + 8a = 105 + 2a

Solving
15 + 8a = 105 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
15 + 8a + -2a = 105 + 2a + -2a

Combine like terms: 8a + -2a = 6a
15 + 6a = 105 + 2a + -2a

Combine like terms: 2a + -2a = 0
15 + 6a = 105 + 0
15 + 6a = 105

Add '-15' to each side of the equation.
15 + -15 + 6a = 105 + -15

Combine like terms: 15 + -15 = 0
0 + 6a = 105 + -15
6a = 105 + -15

Combine like terms: 105 + -15 = 90
6a = 90

Divide each side by '6'.
a = 15

Simplifying
a = 15

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