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

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

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

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

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

Combine like terms: -6 + 5 = -1
-1 + 2w = 3(w + -1)

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

Solving
-1 + 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.
-1 + 2w + -3w = -3 + 3w + -3w

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

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

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

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

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

Divide each side by '-1'.
w = 2

Simplifying
w = 2