2[3a-(a-2)+4]=3(a-5)

Solution for 2[3a-(a-2)+4]=3(a-5) equation:

Simplifying
2[3a + -1(a + -2) + 4] = 3(a + -5)

Reorder the terms:
2[3a + -1(-2 + a) + 4] = 3(a + -5)
2[3a + (-2 * -1 + a * -1) + 4] = 3(a + -5)
2[3a + (2 + -1a) + 4] = 3(a + -5)

Reorder the terms:
2[2 + 4 + 3a + -1a] = 3(a + -5)

Combine like terms: 2 + 4 = 6
2[6 + 3a + -1a] = 3(a + -5)

Combine like terms: 3a + -1a = 2a
2[6 + 2a] = 3(a + -5)
[6 * 2 + 2a * 2] = 3(a + -5)
[12 + 4a] = 3(a + -5)

Reorder the terms:
12 + 4a = 3(-5 + a)
12 + 4a = (-5 * 3 + a * 3)
12 + 4a = (-15 + 3a)

Solving
12 + 4a = -15 + 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.
12 + 4a + -3a = -15 + 3a + -3a

Combine like terms: 4a + -3a = 1a
12 + 1a = -15 + 3a + -3a

Combine like terms: 3a + -3a = 0
12 + 1a = -15 + 0
12 + 1a = -15

Add '-12' to each side of the equation.
12 + -12 + 1a = -15 + -12

Combine like terms: 12 + -12 = 0
0 + 1a = -15 + -12
1a = -15 + -12

Combine like terms: -15 + -12 = -27
1a = -27

Divide each side by '1'.
a = -27

Simplifying
a = -27