6(b-a)=2(4a-3b)

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

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

Reorder the terms:
6(-1a + b) = 2(4a + -3b)
(-1a * 6 + b * 6) = 2(4a + -3b)
(-6a + 6b) = 2(4a + -3b)
-6a + 6b = (4a * 2 + -3b * 2)
-6a + 6b = (8a + -6b)

Solving
-6a + 6b = 8a + -6b

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.
-6a + -8a + 6b = 8a + -8a + -6b

Combine like terms: -6a + -8a = -14a
-14a + 6b = 8a + -8a + -6b

Combine like terms: 8a + -8a = 0
-14a + 6b = 0 + -6b
-14a + 6b = -6b

Add '-6b' to each side of the equation.
-14a + 6b + -6b = -6b + -6b

Combine like terms: 6b + -6b = 0
-14a + 0 = -6b + -6b
-14a = -6b + -6b

Combine like terms: -6b + -6b = -12b
-14a = -12b

Divide each side by '-14'.
a = 0.8571428571b

Simplifying
a = 0.8571428571b