b(6+x)=a(4-x)

Solution for b(6+x)=a(4-x) equation:

Simplifying
b(6 + x) = a(4 + -1x)
(6 * b + x * b) = a(4 + -1x)
(6b + bx) = a(4 + -1x)
6b + bx = (4 * a + -1x * a)
6b + bx = (4a + -1ax)

Solving
6b + bx = 4a + -1ax

Solving for variable 'b'.

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

Reorder the terms:
-4a + ax + 6b + bx = 4a + -1ax + -4a + ax

Reorder the terms:
-4a + ax + 6b + bx = 4a + -4a + -1ax + ax

Combine like terms: 4a + -4a = 0
-4a + ax + 6b + bx = 0 + -1ax + ax
-4a + ax + 6b + bx = -1ax + ax

Combine like terms: -1ax + ax = 0
-4a + ax + 6b + bx = 0

The solution to this equation could not be determined.