2.3(5-w)=0.2(w+.85)

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Solution for 2.3(5-w)=0.2(w+.85) equation: 


Simplifying
2.3(5 + -1w) = 0.2(w + 0.85)
(5 * 2.3 + -1w * 2.3) = 0.2(w + 0.85)
(11.5 + -2.3w) = 0.2(w + 0.85)

Reorder the terms:
11.5 + -2.3w = 0.2(0.85 + w)
11.5 + -2.3w = (0.85 * 0.2 + w * 0.2)
11.5 + -2.3w = (0.17 + 0.2w)

Solving
11.5 + -2.3w = 0.17 + 0.2w

Solving for variable 'w'.

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

Add '-0.2w' to each side of the equation.
11.5 + -2.3w + -0.2w = 0.17 + 0.2w + -0.2w

Combine like terms: -2.3w + -0.2w = -2.5w
11.5 + -2.5w = 0.17 + 0.2w + -0.2w

Combine like terms: 0.2w + -0.2w = 0.0
11.5 + -2.5w = 0.17 + 0.0
11.5 + -2.5w = 0.17

Add '-11.5' to each side of the equation.
11.5 + -11.5 + -2.5w = 0.17 + -11.5

Combine like terms: 11.5 + -11.5 = 0.0
0.0 + -2.5w = 0.17 + -11.5
-2.5w = 0.17 + -11.5

Combine like terms: 0.17 + -11.5 = -11.33
-2.5w = -11.33

Divide each side by '-2.5'.
w = 4.532

Simplifying
w = 4.532

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