(4x+6)-2x=(x-6)+10+14

Solution for (4x+6)-2x=(x-6)+10+14 equation:

Simplifying
(4x + 6) + -2x = (x + -6) + 10 + 14

Reorder the terms:
(6 + 4x) + -2x = (x + -6) + 10 + 14

Remove parenthesis around (6 + 4x)
6 + 4x + -2x = (x + -6) + 10 + 14

Combine like terms: 4x + -2x = 2x
6 + 2x = (x + -6) + 10 + 14

Reorder the terms:
6 + 2x = (-6 + x) + 10 + 14

Remove parenthesis around (-6 + x)
6 + 2x = -6 + x + 10 + 14

Reorder the terms:
6 + 2x = -6 + 10 + 14 + x

Combine like terms: -6 + 10 = 4
6 + 2x = 4 + 14 + x

Combine like terms: 4 + 14 = 18
6 + 2x = 18 + x

Solving
6 + 2x = 18 + 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 + 2x + -1x = 18 + x + -1x

Combine like terms: 2x + -1x = 1x
6 + 1x = 18 + x + -1x

Combine like terms: x + -1x = 0
6 + 1x = 18 + 0
6 + 1x = 18

Add '-6' to each side of the equation.
6 + -6 + 1x = 18 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 18 + -6
1x = 18 + -6

Combine like terms: 18 + -6 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12