3x-31-(x+6)=x

Solution for 3x-31-(x+6)=x equation:

Simplifying
3x + -31 + -1(x + 6) = x

Reorder the terms:
3x + -31 + -1(6 + x) = x
3x + -31 + (6 * -1 + x * -1) = x
3x + -31 + (-6 + -1x) = x

Reorder the terms:
-31 + -6 + 3x + -1x = x

Combine like terms: -31 + -6 = -37
-37 + 3x + -1x = x

Combine like terms: 3x + -1x = 2x
-37 + 2x = x

Solving
-37 + 2x = 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.
-37 + 2x + -1x = x + -1x

Combine like terms: 2x + -1x = 1x
-37 + 1x = x + -1x

Combine like terms: x + -1x = 0
-37 + 1x = 0

Add '37' to each side of the equation.
-37 + 37 + 1x = 0 + 37

Combine like terms: -37 + 37 = 0
0 + 1x = 0 + 37
1x = 0 + 37

Combine like terms: 0 + 37 = 37
1x = 37

Divide each side by '1'.
x = 37

Simplifying
x = 37