3(w-2)+5=-3(w-1)

Solution for 3(w-2)+5=-3(w-1) equation:

Simplifying
3(w + -2) + 5 = -3(w + -1)

Reorder the terms:
3(-2 + w) + 5 = -3(w + -1)
(-2 * 3 + w * 3) + 5 = -3(w + -1)
(-6 + 3w) + 5 = -3(w + -1)

Reorder the terms:
-6 + 5 + 3w = -3(w + -1)

Combine like terms: -6 + 5 = -1
-1 + 3w = -3(w + -1)

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

Solving
-1 + 3w = 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.
-1 + 3w + 3w = 3 + -3w + 3w

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

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

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

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

Combine like terms: 3 + 1 = 4
6w = 4

Divide each side by '6'.
w = 0.6666666667

Simplifying
w = 0.6666666667