2[a+5]=-2[2a+3]

Solution for 2[a+5]=-2[2a+3] equation:

Simplifying
2[a + 5] = -2[2a + 3]

Reorder the terms:
2[5 + a] = -2[2a + 3]
[5 * 2 + a * 2] = -2[2a + 3]
[10 + 2a] = -2[2a + 3]

Reorder the terms:
10 + 2a = -2[3 + 2a]
10 + 2a = [3 * -2 + 2a * -2]
10 + 2a = [-6 + -4a]

Solving
10 + 2a = -6 + -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.
10 + 2a + 4a = -6 + -4a + 4a

Combine like terms: 2a + 4a = 6a
10 + 6a = -6 + -4a + 4a

Combine like terms: -4a + 4a = 0
10 + 6a = -6 + 0
10 + 6a = -6

Add '-10' to each side of the equation.
10 + -10 + 6a = -6 + -10

Combine like terms: 10 + -10 = 0
0 + 6a = -6 + -10
6a = -6 + -10

Combine like terms: -6 + -10 = -16
6a = -16

Divide each side by '6'.
a = -2.666666667

Simplifying
a = -2.666666667