4a-3(d-2)=2(3a-2)

Solution for 4a-3(d-2)=2(3a-2) equation:

Simplifying
4a + -3(d + -2) = 2(3a + -2)

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

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

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

Solving
6 + 4a + -3d = -4 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
6 + 4a + -6a + -3d = -4 + 6a + -6a

Combine like terms: 4a + -6a = -2a
6 + -2a + -3d = -4 + 6a + -6a

Combine like terms: 6a + -6a = 0
6 + -2a + -3d = -4 + 0
6 + -2a + -3d = -4

Add '-6' to each side of the equation.
6 + -2a + -6 + -3d = -4 + -6

Reorder the terms:
6 + -6 + -2a + -3d = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -2a + -3d = -4 + -6
-2a + -3d = -4 + -6

Combine like terms: -4 + -6 = -10
-2a + -3d = -10

Add '3d' to each side of the equation.
-2a + -3d + 3d = -10 + 3d

Combine like terms: -3d + 3d = 0
-2a + 0 = -10 + 3d
-2a = -10 + 3d

Divide each side by '-2'.
a = 5 + -1.5d

Simplifying
a = 5 + -1.5d