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

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

Simplifying
2(x + -3) = 3 + -1(x + 6)

Reorder the terms:
2(-3 + x) = 3 + -1(x + 6)
(-3 * 2 + x * 2) = 3 + -1(x + 6)
(-6 + 2x) = 3 + -1(x + 6)

Reorder the terms:
-6 + 2x = 3 + -1(6 + x)
-6 + 2x = 3 + (6 * -1 + x * -1)
-6 + 2x = 3 + (-6 + -1x)

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

Solving
-6 + 2x = -3 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + 2x + x = -3 + -1x + x

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

Combine like terms: -1x + x = 0
-6 + 3x = -3 + 0
-6 + 3x = -3

Add '6' to each side of the equation.
-6 + 6 + 3x = -3 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = -3 + 6
3x = -3 + 6

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

Divide each side by '3'.
x = 1

Simplifying
x = 1