7a+6=-5(a-6)

Solution for 7a+6=-5(a-6) equation:

Simplifying
7a + 6 = -5(a + -6)

Reorder the terms:
6 + 7a = -5(a + -6)

Reorder the terms:
6 + 7a = -5(-6 + a)
6 + 7a = (-6 * -5 + a * -5)
6 + 7a = (30 + -5a)

Solving
6 + 7a = 30 + -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 + 7a + 5a = 30 + -5a + 5a

Combine like terms: 7a + 5a = 12a
6 + 12a = 30 + -5a + 5a

Combine like terms: -5a + 5a = 0
6 + 12a = 30 + 0
6 + 12a = 30

Add '-6' to each side of the equation.
6 + -6 + 12a = 30 + -6

Combine like terms: 6 + -6 = 0
0 + 12a = 30 + -6
12a = 30 + -6

Combine like terms: 30 + -6 = 24
12a = 24

Divide each side by '12'.
a = 2

Simplifying
a = 2