3w+6=7w+2

Solution for 3w+6=7w+2 equation:

Simplifying
3w + 6 = 7w + 2

Reorder the terms:
6 + 3w = 7w + 2

Reorder the terms:
6 + 3w = 2 + 7w

Solving
6 + 3w = 2 + 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 = 2 + 7w + -7w

Combine like terms: 3w + -7w = -4w
6 + -4w = 2 + 7w + -7w

Combine like terms: 7w + -7w = 0
6 + -4w = 2 + 0
6 + -4w = 2

Add '-6' to each side of the equation.
6 + -6 + -4w = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -4w = 2 + -6
-4w = 2 + -6

Combine like terms: 2 + -6 = -4
-4w = -4

Divide each side by '-4'.
w = 1

Simplifying
w = 1