-5w+34=3(w-2)

Solution for -5w+34=3(w-2) equation:

Simplifying
-5w + 34 = 3(w + -2)

Reorder the terms:
34 + -5w = 3(w + -2)

Reorder the terms:
34 + -5w = 3(-2 + w)
34 + -5w = (-2 * 3 + w * 3)
34 + -5w = (-6 + 3w)

Solving
34 + -5w = -6 + 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.
34 + -5w + -3w = -6 + 3w + -3w

Combine like terms: -5w + -3w = -8w
34 + -8w = -6 + 3w + -3w

Combine like terms: 3w + -3w = 0
34 + -8w = -6 + 0
34 + -8w = -6

Add '-34' to each side of the equation.
34 + -34 + -8w = -6 + -34

Combine like terms: 34 + -34 = 0
0 + -8w = -6 + -34
-8w = -6 + -34

Combine like terms: -6 + -34 = -40
-8w = -40

Divide each side by '-8'.
w = 5

Simplifying
w = 5