7w+22=3(w+2)

Solution for 7w+22=3(w+2) equation:

Simplifying
7w + 22 = 3(w + 2)

Reorder the terms:
22 + 7w = 3(w + 2)

Reorder the terms:
22 + 7w = 3(2 + w)
22 + 7w = (2 * 3 + w * 3)
22 + 7w = (6 + 3w)

Solving
22 + 7w = 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.
22 + 7w + -3w = 6 + 3w + -3w

Combine like terms: 7w + -3w = 4w
22 + 4w = 6 + 3w + -3w

Combine like terms: 3w + -3w = 0
22 + 4w = 6 + 0
22 + 4w = 6

Add '-22' to each side of the equation.
22 + -22 + 4w = 6 + -22

Combine like terms: 22 + -22 = 0
0 + 4w = 6 + -22
4w = 6 + -22

Combine like terms: 6 + -22 = -16
4w = -16

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

Simplifying
w = -4