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

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

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

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

Reorder the terms:
6 + 6a = 4(4 + a)
6 + 6a = (4 * 4 + a * 4)
6 + 6a = (16 + 4a)

Solving
6 + 6a = 16 + 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 = 16 + 4a + -4a

Combine like terms: 6a + -4a = 2a
6 + 2a = 16 + 4a + -4a

Combine like terms: 4a + -4a = 0
6 + 2a = 16 + 0
6 + 2a = 16

Add '-6' to each side of the equation.
6 + -6 + 2a = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 2a = 16 + -6
2a = 16 + -6

Combine like terms: 16 + -6 = 10
2a = 10

Divide each side by '2'.
a = 5

Simplifying
a = 5