22=(y-10)+(z+3)+(x-4)

Solution for 22=(y-10)+(z+3)+(x-4) equation:

Simplifying
22 = (y + -10) + (z + 3) + (x + -4)

Reorder the terms:
22 = (-10 + y) + (z + 3) + (x + -4)

Remove parenthesis around (-10 + y)
22 = -10 + y + (z + 3) + (x + -4)

Reorder the terms:
22 = -10 + y + (3 + z) + (x + -4)

Remove parenthesis around (3 + z)
22 = -10 + y + 3 + z + (x + -4)

Reorder the terms:
22 = -10 + y + 3 + z + (-4 + x)

Remove parenthesis around (-4 + x)
22 = -10 + y + 3 + z + -4 + x

Reorder the terms:
22 = -10 + 3 + -4 + x + y + z

Combine like terms: -10 + 3 = -7
22 = -7 + -4 + x + y + z

Combine like terms: -7 + -4 = -11
22 = -11 + x + y + z

Solving
22 = -11 + x + y + z

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.
22 + -1x = -11 + x + y + -1x + z

Reorder the terms:
22 + -1x = -11 + x + -1x + y + z

Combine like terms: x + -1x = 0
22 + -1x = -11 + 0 + y + z
22 + -1x = -11 + y + z

Add '-22' to each side of the equation.
22 + -22 + -1x = -11 + y + -22 + z

Combine like terms: 22 + -22 = 0
0 + -1x = -11 + y + -22 + z
-1x = -11 + y + -22 + z

Reorder the terms:
-1x = -11 + -22 + y + z

Combine like terms: -11 + -22 = -33
-1x = -33 + y + z

Divide each side by '-1'.
x = 33 + -1y + -1z

Simplifying
x = 33 + -1y + -1z