.3(w+60)=.7(w+40)+22

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Solution for .3(w+60)=.7(w+40)+22 equation: 


Simplifying
0.3(w + 60) = 0.7(w + 40) + 22

Reorder the terms:
0.3(60 + w) = 0.7(w + 40) + 22
(60 * 0.3 + w * 0.3) = 0.7(w + 40) + 22
(18 + 0.3w) = 0.7(w + 40) + 22

Reorder the terms:
18 + 0.3w = 0.7(40 + w) + 22
18 + 0.3w = (40 * 0.7 + w * 0.7) + 22
18 + 0.3w = (28 + 0.7w) + 22

Reorder the terms:
18 + 0.3w = 28 + 22 + 0.7w

Combine like terms: 28 + 22 = 50
18 + 0.3w = 50 + 0.7w

Solving
18 + 0.3w = 50 + 0.7w

Solving for variable 'w'.

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

Add '-0.7w' to each side of the equation.
18 + 0.3w + -0.7w = 50 + 0.7w + -0.7w

Combine like terms: 0.3w + -0.7w = -0.4w
18 + -0.4w = 50 + 0.7w + -0.7w

Combine like terms: 0.7w + -0.7w = 0.0
18 + -0.4w = 50 + 0.0
18 + -0.4w = 50

Add '-18' to each side of the equation.
18 + -18 + -0.4w = 50 + -18

Combine like terms: 18 + -18 = 0
0 + -0.4w = 50 + -18
-0.4w = 50 + -18

Combine like terms: 50 + -18 = 32
-0.4w = 32

Divide each side by '-0.4'.
w = -80

Simplifying
w = -80

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