3(w+2)=7w-14

Solution for 3(w+2)=7w-14 equation:

Simplifying
3(w + 2) = 7w + -14

Reorder the terms:
3(2 + w) = 7w + -14
(2 * 3 + w * 3) = 7w + -14
(6 + 3w) = 7w + -14

Reorder the terms:
6 + 3w = -14 + 7w

Solving
6 + 3w = -14 + 7w

Solving for variable 'w'.

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

Add '-7w' to each side of the equation.
6 + 3w + -7w = -14 + 7w + -7w

Combine like terms: 3w + -7w = -4w
6 + -4w = -14 + 7w + -7w

Combine like terms: 7w + -7w = 0
6 + -4w = -14 + 0
6 + -4w = -14

Add '-6' to each side of the equation.
6 + -6 + -4w = -14 + -6

Combine like terms: 6 + -6 = 0
0 + -4w = -14 + -6
-4w = -14 + -6

Combine like terms: -14 + -6 = -20
-4w = -20

Divide each side by '-4'.
w = 5

Simplifying
w = 5