2x-3(x+2)=6

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

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

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

Reorder the terms:
-6 + 2x + -3x = 6

Combine like terms: 2x + -3x = -1x
-6 + -1x = 6

Solving
-6 + -1x = 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 + -1x = 6 + 6

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

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

Divide each side by '-1'.
x = -12

Simplifying
x = -12