9-0.5(w-3)=0.3(5w-8)

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Solution for 9-0.5(w-3)=0.3(5w-8) equation: 


Simplifying
9 + -0.5(w + -3) = 0.3(5w + -8)

Reorder the terms:
9 + -0.5(-3 + w) = 0.3(5w + -8)
9 + (-3 * -0.5 + w * -0.5) = 0.3(5w + -8)
9 + (1.5 + -0.5w) = 0.3(5w + -8)

Combine like terms: 9 + 1.5 = 10.5
10.5 + -0.5w = 0.3(5w + -8)

Reorder the terms:
10.5 + -0.5w = 0.3(-8 + 5w)
10.5 + -0.5w = (-8 * 0.3 + 5w * 0.3)
10.5 + -0.5w = (-2.4 + 1.5w)

Solving
10.5 + -0.5w = -2.4 + 1.5w

Solving for variable 'w'.

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

Add '-1.5w' to each side of the equation.
10.5 + -0.5w + -1.5w = -2.4 + 1.5w + -1.5w

Combine like terms: -0.5w + -1.5w = -2w
10.5 + -2w = -2.4 + 1.5w + -1.5w

Combine like terms: 1.5w + -1.5w = 0.0
10.5 + -2w = -2.4 + 0.0
10.5 + -2w = -2.4

Add '-10.5' to each side of the equation.
10.5 + -10.5 + -2w = -2.4 + -10.5

Combine like terms: 10.5 + -10.5 = 0.0
0.0 + -2w = -2.4 + -10.5
-2w = -2.4 + -10.5

Combine like terms: -2.4 + -10.5 = -12.9
-2w = -12.9

Divide each side by '-2'.
w = 6.45

Simplifying
w = 6.45

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