2(w-3)=14w

Solution for 2(w-3)=14w equation:

Simplifying
2(w + -3) = 14w

Reorder the terms:
2(-3 + w) = 14w
(-3 * 2 + w * 2) = 14w
(-6 + 2w) = 14w

Solving
-6 + 2w = 14w

Solving for variable 'w'.

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

Add '-14w' to each side of the equation.
-6 + 2w + -14w = 14w + -14w

Combine like terms: 2w + -14w = -12w
-6 + -12w = 14w + -14w

Combine like terms: 14w + -14w = 0
-6 + -12w = 0

Add '6' to each side of the equation.
-6 + 6 + -12w = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -12w = 0 + 6
-12w = 0 + 6

Combine like terms: 0 + 6 = 6
-12w = 6

Divide each side by '-12'.
w = -0.5

Simplifying
w = -0.5