2a(3+2)-a(2+6)=-(a+6)-3(a+2)

Solution for 2a(3+2)-a(2+6)=-(a+6)-3(a+2) equation:

Simplifying
2a(3 + 2) + -1a(2 + 6) = -1(a + 6) + -3(a + 2)

Combine like terms: 3 + 2 = 5
2a(5) + -1a(2 + 6) = -1(a + 6) + -3(a + 2)

Reorder the terms for easier multiplication:
2 * 5a + -1a(2 + 6) = -1(a + 6) + -3(a + 2)

Multiply 2 * 5
10a + -1a(2 + 6) = -1(a + 6) + -3(a + 2)

Combine like terms: 2 + 6 = 8
10a + -1a(8) = -1(a + 6) + -3(a + 2)

Reorder the terms for easier multiplication:
10a + -1 * 8a = -1(a + 6) + -3(a + 2)

Multiply -1 * 8
10a + -8a = -1(a + 6) + -3(a + 2)

Combine like terms: 10a + -8a = 2a
2a = -1(a + 6) + -3(a + 2)

Reorder the terms:
2a = -1(6 + a) + -3(a + 2)
2a = (6 * -1 + a * -1) + -3(a + 2)
2a = (-6 + -1a) + -3(a + 2)

Reorder the terms:
2a = -6 + -1a + -3(2 + a)
2a = -6 + -1a + (2 * -3 + a * -3)
2a = -6 + -1a + (-6 + -3a)

Reorder the terms:
2a = -6 + -6 + -1a + -3a

Combine like terms: -6 + -6 = -12
2a = -12 + -1a + -3a

Combine like terms: -1a + -3a = -4a
2a = -12 + -4a

Solving
2a = -12 + -4a

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
2a + 4a = -12 + -4a + 4a

Combine like terms: 2a + 4a = 6a
6a = -12 + -4a + 4a

Combine like terms: -4a + 4a = 0
6a = -12 + 0
6a = -12

Divide each side by '6'.
a = -2

Simplifying
a = -2