0.666(w-5)=0.75(w+2)

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Solution for 0.666(w-5)=0.75(w+2) equation: 


Simplifying
0.666(w + -5) = 0.75(w + 2)

Reorder the terms:
0.666(-5 + w) = 0.75(w + 2)
(-5 * 0.666 + w * 0.666) = 0.75(w + 2)
(-3.33 + 0.666w) = 0.75(w + 2)

Reorder the terms:
-3.33 + 0.666w = 0.75(2 + w)
-3.33 + 0.666w = (2 * 0.75 + w * 0.75)
-3.33 + 0.666w = (1.5 + 0.75w)

Solving
-3.33 + 0.666w = 1.5 + 0.75w

Solving for variable 'w'.

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

Add '-0.75w' to each side of the equation.
-3.33 + 0.666w + -0.75w = 1.5 + 0.75w + -0.75w

Combine like terms: 0.666w + -0.75w = -0.084w
-3.33 + -0.084w = 1.5 + 0.75w + -0.75w

Combine like terms: 0.75w + -0.75w = 0.00
-3.33 + -0.084w = 1.5 + 0.00
-3.33 + -0.084w = 1.5

Add '3.33' to each side of the equation.
-3.33 + 3.33 + -0.084w = 1.5 + 3.33

Combine like terms: -3.33 + 3.33 = 0.00
0.00 + -0.084w = 1.5 + 3.33
-0.084w = 1.5 + 3.33

Combine like terms: 1.5 + 3.33 = 4.83
-0.084w = 4.83

Divide each side by '-0.084'.
w = -57.5

Simplifying
w = -57.5

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