-4(x-2)+3(x-1)=z(x-7)

Solution for -4(x-2)+3(x-1)=z(x-7) equation:

Simplifying
-4(x + -2) + 3(x + -1) = z(x + -7)

Reorder the terms:
-4(-2 + x) + 3(x + -1) = z(x + -7)
(-2 * -4 + x * -4) + 3(x + -1) = z(x + -7)
(8 + -4x) + 3(x + -1) = z(x + -7)

Reorder the terms:
8 + -4x + 3(-1 + x) = z(x + -7)
8 + -4x + (-1 * 3 + x * 3) = z(x + -7)
8 + -4x + (-3 + 3x) = z(x + -7)

Reorder the terms:
8 + -3 + -4x + 3x = z(x + -7)

Combine like terms: 8 + -3 = 5
5 + -4x + 3x = z(x + -7)

Combine like terms: -4x + 3x = -1x
5 + -1x = z(x + -7)

Reorder the terms:
5 + -1x = z(-7 + x)
5 + -1x = (-7 * z + x * z)

Reorder the terms:
5 + -1x = (xz + -7z)
5 + -1x = (xz + -7z)

Solving
5 + -1x = xz + -7z

Solving for variable 'x'.

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

Add '-1xz' to each side of the equation.
5 + -1x + -1xz = xz + -1xz + -7z

Combine like terms: xz + -1xz = 0
5 + -1x + -1xz = 0 + -7z
5 + -1x + -1xz = -7z

Add '-5' to each side of the equation.
5 + -1x + -5 + -1xz = -5 + -7z

Reorder the terms:
5 + -5 + -1x + -1xz = -5 + -7z

Combine like terms: 5 + -5 = 0
0 + -1x + -1xz = -5 + -7z
-1x + -1xz = -5 + -7z

Reorder the terms:
5 + -1x + -1xz + 7z = -5 + -7z + 5 + 7z

Reorder the terms:
5 + -1x + -1xz + 7z = -5 + 5 + -7z + 7z

Combine like terms: -5 + 5 = 0
5 + -1x + -1xz + 7z = 0 + -7z + 7z
5 + -1x + -1xz + 7z = -7z + 7z

Combine like terms: -7z + 7z = 0
5 + -1x + -1xz + 7z = 0

The solution to this equation could not be determined.