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

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

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

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

Reorder the terms:
6 + 6a = 4(-1 + 2a)
6 + 6a = (-1 * 4 + 2a * 4)
6 + 6a = (-4 + 8a)

Solving
6 + 6a = -4 + 8a

Solving for variable 'a'.

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

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

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

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

Add '-6' to each side of the equation.
6 + -6 + -2a = -4 + -6

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

Combine like terms: -4 + -6 = -10
-2a = -10

Divide each side by '-2'.
a = 5

Simplifying
a = 5