(51+x)-(9+x)=x

Solution for (51+x)-(9+x)=x equation:

Simplifying
(51 + x) + -1(9 + x) = x

Remove parenthesis around (51 + x)
51 + x + -1(9 + x) = x
51 + x + (9 * -1 + x * -1) = x
51 + x + (-9 + -1x) = x

Reorder the terms:
51 + -9 + x + -1x = x

Combine like terms: 51 + -9 = 42
42 + x + -1x = x

Combine like terms: x + -1x = 0
42 + 0 = x
42 = x

Solving
42 = 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.
42 + -1x = x + -1x

Combine like terms: x + -1x = 0
42 + -1x = 0

Add '-42' to each side of the equation.
42 + -42 + -1x = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -1x = 0 + -42
-1x = 0 + -42

Combine like terms: 0 + -42 = -42
-1x = -42

Divide each side by '-1'.
x = 42

Simplifying
x = 42