z(x-4)=x+3

Solution for z(x-4)=x+3 equation:

Simplifying
z(x + -4) = x + 3

Reorder the terms:
z(-4 + x) = x + 3
(-4 * z + x * z) = x + 3

Reorder the terms:
(xz + -4z) = x + 3
(xz + -4z) = x + 3

Reorder the terms:
xz + -4z = 3 + x

Solving
xz + -4z = 3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
xz + -1x + -4z = 3 + x + -1x

Reorder the terms:
-1x + xz + -4z = 3 + x + -1x

Combine like terms: x + -1x = 0
-1x + xz + -4z = 3 + 0
-1x + xz + -4z = 3

Add '4z' to each side of the equation.
-1x + xz + -4z + 4z = 3 + 4z

Combine like terms: -4z + 4z = 0
-1x + xz + 0 = 3 + 4z
-1x + xz = 3 + 4z

Reorder the terms:
-3 + -1x + xz + -4z = 3 + 4z + -3 + -4z

Reorder the terms:
-3 + -1x + xz + -4z = 3 + -3 + 4z + -4z

Combine like terms: 3 + -3 = 0
-3 + -1x + xz + -4z = 0 + 4z + -4z
-3 + -1x + xz + -4z = 4z + -4z

Combine like terms: 4z + -4z = 0
-3 + -1x + xz + -4z = 0

The solution to this equation could not be determined.