2a+6=-5(a-11)

Solution for 2a+6=-5(a-11) equation:

Simplifying
2a + 6 = -5(a + -11)

Reorder the terms:
6 + 2a = -5(a + -11)

Reorder the terms:
6 + 2a = -5(-11 + a)
6 + 2a = (-11 * -5 + a * -5)
6 + 2a = (55 + -5a)

Solving
6 + 2a = 55 + -5a

Solving for variable 'a'.

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

Add '5a' to each side of the equation.
6 + 2a + 5a = 55 + -5a + 5a

Combine like terms: 2a + 5a = 7a
6 + 7a = 55 + -5a + 5a

Combine like terms: -5a + 5a = 0
6 + 7a = 55 + 0
6 + 7a = 55

Add '-6' to each side of the equation.
6 + -6 + 7a = 55 + -6

Combine like terms: 6 + -6 = 0
0 + 7a = 55 + -6
7a = 55 + -6

Combine like terms: 55 + -6 = 49
7a = 49

Divide each side by '7'.
a = 7

Simplifying
a = 7