10x-(x-6)=x+30

Solution for 10x-(x-6)=x+30 equation:

Simplifying
10x + -1(x + -6) = x + 30

Reorder the terms:
10x + -1(-6 + x) = x + 30
10x + (-6 * -1 + x * -1) = x + 30
10x + (6 + -1x) = x + 30

Reorder the terms:
6 + 10x + -1x = x + 30

Combine like terms: 10x + -1x = 9x
6 + 9x = x + 30

Reorder the terms:
6 + 9x = 30 + x

Solving
6 + 9x = 30 + 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.
6 + 9x + -1x = 30 + x + -1x

Combine like terms: 9x + -1x = 8x
6 + 8x = 30 + x + -1x

Combine like terms: x + -1x = 0
6 + 8x = 30 + 0
6 + 8x = 30

Add '-6' to each side of the equation.
6 + -6 + 8x = 30 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = 30 + -6
8x = 30 + -6

Combine like terms: 30 + -6 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3