3w+22=5(w+4)

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Solution for 3w+22=5(w+4) equation:


Simplifying
3w + 22 = 5(w + 4)

Reorder the terms:
22 + 3w = 5(w + 4)

Reorder the terms:
22 + 3w = 5(4 + w)
22 + 3w = (4 * 5 + w * 5)
22 + 3w = (20 + 5w)

Solving
22 + 3w = 20 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
22 + 3w + -5w = 20 + 5w + -5w

Combine like terms: 3w + -5w = -2w
22 + -2w = 20 + 5w + -5w

Combine like terms: 5w + -5w = 0
22 + -2w = 20 + 0
22 + -2w = 20

Add '-22' to each side of the equation.
22 + -22 + -2w = 20 + -22

Combine like terms: 22 + -22 = 0
0 + -2w = 20 + -22
-2w = 20 + -22

Combine like terms: 20 + -22 = -2
-2w = -2

Divide each side by '-2'.
w = 1

Simplifying
w = 1

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