2(9-1)=3(a+1)

Solution for 2(9-1)=3(a+1) equation:

Simplifying
2(9 + -1) = 3(a + 1)

Combine like terms: 9 + -1 = 8
2(8) = 3(a + 1)

Multiply 2 * 8
16 = 3(a + 1)

Reorder the terms:
16 = 3(1 + a)
16 = (1 * 3 + a * 3)
16 = (3 + 3a)

Solving
16 = 3 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
16 + -3a = 3 + 3a + -3a

Combine like terms: 3a + -3a = 0
16 + -3a = 3 + 0
16 + -3a = 3

Add '-16' to each side of the equation.
16 + -16 + -3a = 3 + -16

Combine like terms: 16 + -16 = 0
0 + -3a = 3 + -16
-3a = 3 + -16

Combine like terms: 3 + -16 = -13
-3a = -13

Divide each side by '-3'.
a = 4.333333333

Simplifying
a = 4.333333333