14b+a(x+-3b)=x(7+-1a)+ab

Solution for 14b+a(x+-3b)=x(7+-1a)+ab equation:

Simplifying
14b + a(x + -3b) = x(7 + -1a) + ab

Reorder the terms:
14b + a(-3b + x) = x(7 + -1a) + ab
14b + (-3b * a + x * a) = x(7 + -1a) + ab
14b + (-3ab + ax) = x(7 + -1a) + ab

Reorder the terms:
-3ab + ax + 14b = x(7 + -1a) + ab
-3ab + ax + 14b = (7 * x + -1a * x) + ab

Reorder the terms:
-3ab + ax + 14b = (-1ax + 7x) + ab
-3ab + ax + 14b = (-1ax + 7x) + ab

Reorder the terms:
-3ab + ax + 14b = ab + -1ax + 7x

Solving
-3ab + ax + 14b = ab + -1ax + 7x

Solving for variable 'a'.

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

Add '-1ab' to each side of the equation.
-3ab + ax + -1ab + 14b = ab + -1ax + -1ab + 7x

Reorder the terms:
-3ab + -1ab + ax + 14b = ab + -1ax + -1ab + 7x

Combine like terms: -3ab + -1ab = -4ab
-4ab + ax + 14b = ab + -1ax + -1ab + 7x

Reorder the terms:
-4ab + ax + 14b = ab + -1ab + -1ax + 7x

Combine like terms: ab + -1ab = 0
-4ab + ax + 14b = 0 + -1ax + 7x
-4ab + ax + 14b = -1ax + 7x

Add 'ax' to each side of the equation.
-4ab + ax + ax + 14b = -1ax + ax + 7x

Combine like terms: ax + ax = 2ax
-4ab + 2ax + 14b = -1ax + ax + 7x

Combine like terms: -1ax + ax = 0
-4ab + 2ax + 14b = 0 + 7x
-4ab + 2ax + 14b = 7x

Add '-14b' to each side of the equation.
-4ab + 2ax + 14b + -14b = -14b + 7x

Combine like terms: 14b + -14b = 0
-4ab + 2ax + 0 = -14b + 7x
-4ab + 2ax = -14b + 7x

Reorder the terms:
-4ab + 2ax + 14b + -7x = -14b + 14b + 7x + -7x

Combine like terms: -14b + 14b = 0
-4ab + 2ax + 14b + -7x = 0 + 7x + -7x
-4ab + 2ax + 14b + -7x = 7x + -7x

Combine like terms: 7x + -7x = 0
-4ab + 2ax + 14b + -7x = 0

The solution to this equation could not be determined.