4x+2(x-3)=6

Solution for 4x+2(x-3)=6 equation:

Simplifying
4x + 2(x + -3) = 6

Reorder the terms:
4x + 2(-3 + x) = 6
4x + (-3 * 2 + x * 2) = 6
4x + (-6 + 2x) = 6

Reorder the terms:
-6 + 4x + 2x = 6

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

Solving
-6 + 6x = 6

Solving for variable 'x'.

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

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

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

Combine like terms: 6 + 6 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2