6(a+1)=4(a+2)

Solution for 6(a+1)=4(a+2) equation:

Simplifying
6(a + 1) = 4(a + 2)

Reorder the terms:
6(1 + a) = 4(a + 2)
(1 * 6 + a * 6) = 4(a + 2)
(6 + 6a) = 4(a + 2)

Reorder the terms:
6 + 6a = 4(2 + a)
6 + 6a = (2 * 4 + a * 4)
6 + 6a = (8 + 4a)

Solving
6 + 6a = 8 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
6 + 6a + -4a = 8 + 4a + -4a

Combine like terms: 6a + -4a = 2a
6 + 2a = 8 + 4a + -4a

Combine like terms: 4a + -4a = 0
6 + 2a = 8 + 0
6 + 2a = 8

Add '-6' to each side of the equation.
6 + -6 + 2a = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 2a = 8 + -6
2a = 8 + -6

Combine like terms: 8 + -6 = 2
2a = 2

Divide each side by '2'.
a = 1

Simplifying
a = 1