(-5000+0.5(w)+.8(x))*.8=(0)*.8

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Solution for (-5000+0.5(w)+.8(x))*.8=(0)*.8 equation: 


Simplifying
(-5000 + 0.5(w) + 0.8(x)) * 0.8 = (0) * 0.8

Reorder the terms for easier multiplication:
0.8(-5000 + 0.5w + 0.8x) = (0) * 0.8
(-5000 * 0.8 + 0.5w * 0.8 + 0.8x * 0.8) = (0) * 0.8
(-4000 + 0.4w + 0.64x) = (0) * 0.8

Multiply 0 * 0.8
-4000 + 0.4w + 0.64x = 0.0

Anything times zero is zero.
-4000 + 0.4w + 0.64x = 0.0

Solving
-4000 + 0.4w + 0.64x = 0.0

Solving for variable 'w'.

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

Add '4000' to each side of the equation.
-4000 + 0.4w + 4000 + 0.64x = 0.0 + 4000

Reorder the terms:
-4000 + 4000 + 0.4w + 0.64x = 0.0 + 4000

Combine like terms: -4000 + 4000 = 0
0 + 0.4w + 0.64x = 0.0 + 4000
0.4w + 0.64x = 0.0 + 4000

Combine like terms: 0.0 + 4000 = 4000
0.4w + 0.64x = 4000

Add '-0.64x' to each side of the equation.
0.4w + 0.64x + -0.64x = 4000 + -0.64x

Combine like terms: 0.64x + -0.64x = 0.00
0.4w + 0.00 = 4000 + -0.64x
0.4w = 4000 + -0.64x

Divide each side by '0.4'.
w = 10000 + -1.6x

Simplifying
w = 10000 + -1.6x

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