6+2(3a-2)=4(1+a)

Solution for 6+2(3a-2)=4(1+a) equation:

Simplifying
6 + 2(3a + -2) = 4(1 + a)

Reorder the terms:
6 + 2(-2 + 3a) = 4(1 + a)
6 + (-2 * 2 + 3a * 2) = 4(1 + a)
6 + (-4 + 6a) = 4(1 + a)

Combine like terms: 6 + -4 = 2
2 + 6a = 4(1 + a)
2 + 6a = (1 * 4 + a * 4)
2 + 6a = (4 + 4a)

Solving
2 + 6a = 4 + 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.
2 + 6a + -4a = 4 + 4a + -4a

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

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

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

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

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

Divide each side by '2'.
a = 1

Simplifying
a = 1