6(a+1)=5(2-9)

Solution for 6(a+1)=5(2-9) equation:

Simplifying
6(a + 1) = 5(2 + -9)

Reorder the terms:
6(1 + a) = 5(2 + -9)
(1 * 6 + a * 6) = 5(2 + -9)
(6 + 6a) = 5(2 + -9)

Combine like terms: 2 + -9 = -7
6 + 6a = 5(-7)

Multiply 5 * -7
6 + 6a = -35

Solving
6 + 6a = -35

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + -6 + 6a = -35 + -6

Combine like terms: 6 + -6 = 0
0 + 6a = -35 + -6
6a = -35 + -6

Combine like terms: -35 + -6 = -41
6a = -41

Divide each side by '6'.
a = -6.833333333

Simplifying
a = -6.833333333