(10x+y)-(10z+u)=24

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Solution for (10x+y)-(10z+u)=24 equation:


Simplifying
(10x + y) + -1(10z + u) = 24

Remove parenthesis around (10x + y)
10x + y + -1(10z + u) = 24

Reorder the terms:
10x + y + -1(u + 10z) = 24
10x + y + (u * -1 + 10z * -1) = 24
10x + y + (-1u + -10z) = 24

Reorder the terms:
-1u + 10x + y + -10z = 24

Solving
-1u + 10x + y + -10z = 24

Solving for variable 'u'.

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

Add '-10x' to each side of the equation.
-1u + 10x + y + -10x + -10z = 24 + -10x

Reorder the terms:
-1u + 10x + -10x + y + -10z = 24 + -10x

Combine like terms: 10x + -10x = 0
-1u + 0 + y + -10z = 24 + -10x
-1u + y + -10z = 24 + -10x

Add '-1y' to each side of the equation.
-1u + y + -1y + -10z = 24 + -10x + -1y

Combine like terms: y + -1y = 0
-1u + 0 + -10z = 24 + -10x + -1y
-1u + -10z = 24 + -10x + -1y

Add '10z' to each side of the equation.
-1u + -10z + 10z = 24 + -10x + -1y + 10z

Combine like terms: -10z + 10z = 0
-1u + 0 = 24 + -10x + -1y + 10z
-1u = 24 + -10x + -1y + 10z

Divide each side by '-1'.
u = -24 + 10x + y + -10z

Simplifying
u = -24 + 10x + y + -10z

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