a(b-4)-7b=5(3b-2)

Solution for a(b-4)-7b=5(3b-2) equation:

Simplifying
a(b + -4) + -7b = 5(3b + -2)

Reorder the terms:
a(-4 + b) + -7b = 5(3b + -2)
(-4 * a + b * a) + -7b = 5(3b + -2)
(-4a + ab) + -7b = 5(3b + -2)

Reorder the terms:
-4a + ab + -7b = 5(-2 + 3b)
-4a + ab + -7b = (-2 * 5 + 3b * 5)
-4a + ab + -7b = (-10 + 15b)

Solving
-4a + ab + -7b = -10 + 15b

Solving for variable 'a'.

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

Add '7b' to each side of the equation.
-4a + ab + -7b + 7b = -10 + 15b + 7b

Combine like terms: -7b + 7b = 0
-4a + ab + 0 = -10 + 15b + 7b
-4a + ab = -10 + 15b + 7b

Combine like terms: 15b + 7b = 22b
-4a + ab = -10 + 22b

Reorder the terms:
10 + -4a + ab + -22b = -10 + 22b + 10 + -22b

Reorder the terms:
10 + -4a + ab + -22b = -10 + 10 + 22b + -22b

Combine like terms: -10 + 10 = 0
10 + -4a + ab + -22b = 0 + 22b + -22b
10 + -4a + ab + -22b = 22b + -22b

Combine like terms: 22b + -22b = 0
10 + -4a + ab + -22b = 0

The solution to this equation could not be determined.