2(x-3)-3x=-21

Solution for 2(x-3)-3x=-21 equation:

Simplifying
2(x + -3) + -3x = -21

Reorder the terms:
2(-3 + x) + -3x = -21
(-3 * 2 + x * 2) + -3x = -21
(-6 + 2x) + -3x = -21

Combine like terms: 2x + -3x = -1x
-6 + -1x = -21

Solving
-6 + -1x = -21

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 = -21 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = -21 + 6
-1x = -21 + 6

Combine like terms: -21 + 6 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15