5-3(w+2)=w-6

Solution for 5-3(w+2)=w-6 equation:

Simplifying
5 + -3(w + 2) = w + -6

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

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

Reorder the terms:
-1 + -3w = -6 + w

Solving
-1 + -3w = -6 + w

Solving for variable 'w'.

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

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

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

Combine like terms: w + -1w = 0
-1 + -4w = -6 + 0
-1 + -4w = -6

Add '1' to each side of the equation.
-1 + 1 + -4w = -6 + 1

Combine like terms: -1 + 1 = 0
0 + -4w = -6 + 1
-4w = -6 + 1

Combine like terms: -6 + 1 = -5
-4w = -5

Divide each side by '-4'.
w = 1.25

Simplifying
w = 1.25