2(a+5)=6a-6

Solution for 2(a+5)=6a-6 equation:

Simplifying
2(a + 5) = 6a + -6

Reorder the terms:
2(5 + a) = 6a + -6
(5 * 2 + a * 2) = 6a + -6
(10 + 2a) = 6a + -6

Reorder the terms:
10 + 2a = -6 + 6a

Solving
10 + 2a = -6 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
10 + 2a + -6a = -6 + 6a + -6a

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

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

Add '-10' to each side of the equation.
10 + -10 + -4a = -6 + -10

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

Combine like terms: -6 + -10 = -16
-4a = -16

Divide each side by '-4'.
a = 4

Simplifying
a = 4