2(a+5)=a-5

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

Simplifying
2(a + 5) = a + -5

Reorder the terms:
2(5 + a) = a + -5
(5 * 2 + a * 2) = a + -5
(10 + 2a) = a + -5

Reorder the terms:
10 + 2a = -5 + a

Solving
10 + 2a = -5 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
10 + 2a + -1a = -5 + a + -1a

Combine like terms: 2a + -1a = 1a
10 + 1a = -5 + a + -1a

Combine like terms: a + -1a = 0
10 + 1a = -5 + 0
10 + 1a = -5

Add '-10' to each side of the equation.
10 + -10 + 1a = -5 + -10

Combine like terms: 10 + -10 = 0
0 + 1a = -5 + -10
1a = -5 + -10

Combine like terms: -5 + -10 = -15
1a = -15

Divide each side by '1'.
a = -15

Simplifying
a = -15