2(w-3)=3(w+1)

Solution for 2(w-3)=3(w+1) equation:

Simplifying
2(w + -3) = 3(w + 1)

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

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

Solving
-6 + 2w = 3 + 3w

Solving for variable 'w'.

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

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

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

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

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

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

Combine like terms: 3 + 6 = 9
-1w = 9

Divide each side by '-1'.
w = -9

Simplifying
w = -9