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

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

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

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

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

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

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

Combine like terms: -3a + -6a = -9a
6 + -9a + 4q = -4 + 6a + -6a

Combine like terms: 6a + -6a = 0
6 + -9a + 4q = -4 + 0
6 + -9a + 4q = -4

Add '-6' to each side of the equation.
6 + -9a + -6 + 4q = -4 + -6

Reorder the terms:
6 + -6 + -9a + 4q = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -9a + 4q = -4 + -6
-9a + 4q = -4 + -6

Combine like terms: -4 + -6 = -10
-9a + 4q = -10

Add '-4q' to each side of the equation.
-9a + 4q + -4q = -10 + -4q

Combine like terms: 4q + -4q = 0
-9a + 0 = -10 + -4q
-9a = -10 + -4q

Divide each side by '-9'.
a = 1.111111111 + 0.4444444444q

Simplifying
a = 1.111111111 + 0.4444444444q