x+3-13+z-21=x(2+z)+14-2x

Solution for x+3-13+z-21=x(2+z)+14-2x equation:

Simplifying
x + 3 + -13 + z + -21 = x(2 + z) + 14 + -2x

Reorder the terms:
3 + -13 + -21 + x + z = x(2 + z) + 14 + -2x

Combine like terms: 3 + -13 = -10
-10 + -21 + x + z = x(2 + z) + 14 + -2x

Combine like terms: -10 + -21 = -31
-31 + x + z = x(2 + z) + 14 + -2x
-31 + x + z = (2 * x + z * x) + 14 + -2x
-31 + x + z = (2x + xz) + 14 + -2x

Reorder the terms:
-31 + x + z = 14 + 2x + -2x + xz

Combine like terms: 2x + -2x = 0
-31 + x + z = 14 + 0 + xz
-31 + x + z = 14 + xz

Solving
-31 + x + z = 14 + xz

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.
-31 + x + -1xz + z = 14 + xz + -1xz

Combine like terms: xz + -1xz = 0
-31 + x + -1xz + z = 14 + 0
-31 + x + -1xz + z = 14

Add '31' to each side of the equation.
-31 + x + -1xz + 31 + z = 14 + 31

Reorder the terms:
-31 + 31 + x + -1xz + z = 14 + 31

Combine like terms: -31 + 31 = 0
0 + x + -1xz + z = 14 + 31
x + -1xz + z = 14 + 31

Combine like terms: 14 + 31 = 45
x + -1xz + z = 45

Add '-1z' to each side of the equation.
x + -1xz + z + -1z = 45 + -1z

Combine like terms: z + -1z = 0
x + -1xz + 0 = 45 + -1z
x + -1xz = 45 + -1z

Reorder the terms:
-45 + x + -1xz + z = 45 + -1z + -45 + z

Reorder the terms:
-45 + x + -1xz + z = 45 + -45 + -1z + z

Combine like terms: 45 + -45 = 0
-45 + x + -1xz + z = 0 + -1z + z
-45 + x + -1xz + z = -1z + z

Combine like terms: -1z + z = 0
-45 + x + -1xz + z = 0

The solution to this equation could not be determined.